Estruturas algébricas e suas representações

• Processo: 14/09310-5
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Vigência: 01 de outubro de 2014 - 30 de setembro de 2018
• Área do conhecimento: Ciências Exatas e da Terra - Matemática - Álgebra
• Pesquisador responsável: Vyacheslav Futorny
• Beneficiário: Vyacheslav Futorny
• Instituição Sede: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brasil
• Pesquisadores principais: Adriano Adrega de Moura ; Alexandre Grichkov ; Eduardo do Nascimento Marcos ; Ivan Chestakov ; Plamen Emilov Kochloukov
• Pesquisadores associados: Alexandr Kornev ; Angelo Calil Bianchi ; Dimas José Gonçalves ; Henrique Guzzo Junior ; Iryna Kashuba ; Juan Carlos Gutiérrez Fernández ; Kostiantyn Iusenko ; Lucia Satie Ikemoto Murakami ; Renato Alessandro Martins ; Thiago Castilho de Mello
• Auxílios(s) vinculado(s): 18/19908-6 - Sixth Conference on Geometric Methods in Representation Theory, AR.EXT; 18/08104-3 - Teoria Inclinante sobre retas projetivas com peso, AV.BR; 18/05372-7 - (Super)álgebras simétricas a esquerda simples de dimensão finita, AV.EXT; + mais auxílios vinculados 18/09719-1 - Afinizações minimais incoerentes, AV.EXT; 18/03717-7 - O problema de especialidade de álgebras de Malcev, AV.EXT; 18/08907-9 - Sequências excepcionais de feixes coherentes, AV.EXT; 18/11292-6 - Loops de Moufang e as álgebras relacionadas, AV.EXT; 18/06777-0 - Representações de superálgebra de Lie periplética, AV.EXT; 18/07046-0 - Álgebras S-homogêneas, AV.EXT; 18/07038-7 - Conjectura de Han, AV.EXT; 17/24563-5 - Representações lineares e unitárias de posets: subespaços, uma forma quadrática e módulos induzidos, AV.EXT; 17/19777-6 - T-motivos de Anderson, seus L-funções e reticulados, AV.BR; 17/14492-3 - Loops de código e as álgebras de Malcev, AV.EXT; 17/14489-2 - Loops de Moufang e os grupos relacionados, AV.EXT; 17/04846-2 - Superálgebras simples alternativas à direita com condições para parte par, AV.EXT; 16/50475-3 - Representation Theory of Lie algebras of vector fields on smooth algebraic manifolds, AP.R SPRINT; 17/02946-0 - Operadores polinomial íntegro-diferenciais e suas representações, AV.EXT; 16/18068-9 - Aspectos combinatórios das Álgebras de Lie e álgebras não-comutativas, AV.BR; 16/19459-1 - Álgebras cujo ideal gerador tem base de Groebner pequenas, AV.EXT; 16/07265-8 - Estruturas algébricas em teoria de integrabilidade, AV.EXT; 15/25280-1 - Mansidão estável de automorfismos de álgebras afins, AV.EXT; 15/05859-5 - Álgebras de Lie de campos vetoriais sobre variedades algébricas, AV.EXT; 15/08615-0 - Representações simples de álgebras de Witt e de Kac-Moody, AV.EXT; 15/05864-9 - Problemas de classificação em álgebra linear e teoria de sistemas, AV.EXT; 15/06469-6 - Representações de W-álgebras, AV.EXT; 15/07917-2 - Bi-álgebras na Teoria de Lie generalizada, AV.EXT; 15/07245-4 - Loops de Moufang e as álgebras de Malcev, AV.EXT; 14/21137-7 - Álgebras de Hopf não associativas e álgebras de Sabinin, AV.EXT - menos auxílios vinculados
• Bolsa(s) vinculada(s): 18/17464-3 - Identidades polinomiais e superinvoluções, BP.PD; 18/12382-9 - Representações de álgebras correntes, BP.MS; 17/25777-9 - Representações de superálgebras de Jordan, BE.PQ; + mais bolsas vinculadas 18/07593-0 - Ações de álgebra de Virasoro de 3 pontos em realizações de campos livres e gerbes, BE.PQ; 18/05183-0 - Introdução à teoria de representações de Álgebras de Kac-Moody afins, BP.IC; 18/05091-8 - Uma resolução livre para certas álgebras, BP.MS; 18/07628-9 - Álgebras de produto entrelaçado, BP.MS; 18/06471-9 - 2 teoremas de Gabriel 2, BP.IC; 17/21429-6 - Os problemas estruturais de álgebras de Zinbiel-Lie e de Novikov-Jordan, BP.PD; 17/11050-0 - Subálgebras de Mischenko-Fomenko de álgebras envolventes de álgebras de Lie simples, BP.MS; 17/20000-6 - Estudo de representações de álgebras de Lie e de álgebras de Jordan, BP.PD; 16/25984-1 - Módulos de Gelfand-Tsetlin para álgebras de Lie, BP.PD; 16/06133-0 - Sistemas não associativos e suas aplicações, BE.PQ; 16/09496-7 - A conjectura de Lvov-Kaplansky, BP.MS; 16/09809-5 - Aplicações da teoria de Bases de Grobner para o cálculo da cohomologia de Hochschild, BP.MS; 15/05927-0 - Determinantes quânticas e categorificação de grupos quânticos, BP.PD; 15/15901-9 - O formalismo de bracket derivado em álgebra e geometria, módulos de Gelfand-Tsetlin para superálgebras de Lie, BP.PD; 15/17611-8 - Geometrias finitas, suas automorfismos e os sistemas algébricos relacionados., BP.DR; 14/25612-1 - Extensões do problema de Noether e conjectura de Gelfand-Kirillov para certas classes de álgebras não-comutativas, BP.DR - menos bolsas vinculadas
• Assunto(s): Álgebras de Jordan Álgebras de Lie Anéis e álgebras não associativos
• Palavra(s)-Chave do Pesquisador: Algebra | álgebra de Jordan | álgebra de Lie | álgebra não associativa | grupo quântico | Representação | Álgebras e representações

Resumo

O projeto será dedicado ao estudo de álgebras e superalgebras de Lie e de Jordan e suas representações. Além disso, as álgebras e superalgebras alternativas e de Malcev serão consideradas, os loops de Moufang, álgebras de Calabi-Yau, álgebras de Yoneda e várias generalizações e quantizações de álgebras mencionadas acima. As linhas do projeto de pesquisa concentram-se nos seguintes temas: - Álgebras de Lie e suas Representações, grupos quânticos;- Álgebras e Superalgebras Alternativas e de Jordan e Suas Generalizações;- Identidades, Graduações, e Automorfismos;- Representações de álgebras associativas;- Aplicações e Generalizações. (AU)

Publicações científicas

(108)

(Referências obtidas automaticamente do Web of Science e do SciELO, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores)

SHESTAKOV, IVAN; ZELMANOV, EFIM. A finite presentation of Jordan algebras. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 28, n. 8, SI, p. 1705-1716, DEC 2018. (14/09310-5)

ARAKAWA, TOMOYUKI; FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE. Weight Representations of Admissible Affine Vertex Algebras. Communications in Mathematical Physics, v. 353, n. 3, p. 1151-1178, AUG 2017. (15/06469-6, 14/09310-5)

BRITO, MATHEUS; CHARI, VYJAYANTHI; MOURA, ADRIANO. DEMAZURE MODULES OF LEVEL TWO AND PRIME REPRESENTATIONS OF QUANTUM AFFINE sln+1. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, v. 17, n. 1, p. 75-105, FEB 2018. (10/19458-9, 14/09310-5)

BIANCHI, ANGELO; WILSON, EVAN. Bases for local Weyl modules for the hyper and truncated current sl(2)-algebras. Journal of Algebra, v. 506, p. 509-539, JUL 15 2018. (11/12079-5, 14/09310-5, 15/22040-0)

YASUMURA, FELIPE YUKIHIDE; KOSHLUKOV, PLAMEN EMILOV. Asymptotics of graded codimension of upper triangular matrices. Israel Journal of Mathematics, v. 223, n. 1, p. 423-439, FEB 2018. (14/09310-5, 13/22802-1)

HITOMI, EDUARDO; KOSHLUKOV, PLAMEN; YASUMURA, FELIPE. Group gradings on the Lie and Jordan algebras of upper triangular matrices. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 11, n. 2, p. 326-347, DEC 2017. (14/09310-5, 13/22802-1)

PEREZ-IZQUIERDO, JOSE M.; SHESTAKOV, IVAN P.. Co-Moufang Deformations of the Universal Enveloping Algebra of the Algebra of Traceless Octonions. ALGEBRAS AND REPRESENTATION THEORY, v. 18, n. 5, p. 1247-1265, OCT 2015. (14/09310-5, 11/51553-4)

FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. Irreducible Generic Gelfand-Tsetlin Modules of gl(n). Symmetry Integrability and Geometry-Methods and Applications, v. 11, 2015. (11/21621-8, 14/09310-5, 12/23450-9)

FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; MARTINS, RENATO A.. Localization of Free Field Realizations of Affine Lie Algebras. LETTERS IN MATHEMATICAL PHYSICS, v. 105, n. 4, p. 483-502, APR 2015. (12/02459-8, 11/21621-8, 14/09310-5)

GONCALVES FONSECA, LUIS FELIPE; DE MELLO, THIAGO CASTILHO. Graded polynomial Identities for matrices with the transpose involution over an infinite field. COMMUNICATIONS IN ALGEBRA, v. 46, n. 4, p. 1630-1640, 2018. (14/09310-5, 14/10352-4)

KAYGORODOV, IVAN; SHESTAKOV, IVAN; UMIRBAEV, UALBAI. Free generic Poisson fields and algebras. COMMUNICATIONS IN ALGEBRA, v. 46, n. 4, p. 1799-1812, 2018. (14/24519-8, 14/09310-5)

MARCOS, EDUARDO N.; MENDOZA, OCTAVIO; SAENZ, CORINA; SANTIAGO, VALENTE. Wide subcategories of finitely generated A-modules. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 17, n. 5, MAY 2018. (14/09310-5)

CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. Jacobi-Zariski long nearly exact sequences for associative algebras. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v. 53, n. 6, p. 1636-1650, DEC 2021. (14/09310-5)

KORNEV, A. I.; SHESTAKOV, I. P.. On associative representations of non-associative algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 17, n. 3, MAR 2018. (14/09310-5)

CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SCHROLL, SIBYLLE; SOLOTAR, ANDREA. The first Hochschild (co)homology when adding arrows to a bound quiver algebra. Journal of Algebra, v. 540, p. 63-77, DEC 15 2019. (14/09310-5)

KLEINFELD, E.; SHESTAKOV, I. P.. Associators and Commutators in Alternative Algebras. Algebra and Logic, v. 58, n. 4, p. 322-326, SEP 2019. (14/09310-5)

CIBILS, CLAUDE; MARCOS, EDUARDO N.. Resolving by a free action linear category and applications to Hochschild-Mitchell (co)homology. Journal of Algebra, v. 591, p. 117-141, FEB 1 2022. (14/09310-5)

MARCOS, EDUARDO N.; MENDOZA, OCTAVIO; SAENZ, CORINA. Cokernels of the Cartan matrix and stratifying systems. COMMUNICATIONS IN ALGEBRA, v. 47, n. 8, p. 3076-3093, AUG 8 2019. (14/09310-5)

DINIZ, DIOGO; KOSHLUKOV, PLAMEN. Embeddings for the Jordan algebra of a bilinear form. ADVANCES IN MATHEMATICS, v. 337, p. 294-316, OCT 15 2018. (14/09310-5)

MOURA, ADRIANO; PEREIRA, FERNANDA. NON-MINIMALITY OF CERTAIN IRREGULAR COHERENT PREMINIMAL AFFINIZATIONS. PACIFIC JOURNAL OF MATHEMATICS, v. 297, n. 1, p. 147-193, NOV 2018. (14/09310-5, 09/16309-5)

CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. DELETING OR ADDING ARROWS OF A BOUND QUIVER ALGEBRA AND HOCHSCHILD (CO)HOMOLOGY. Proceedings of the American Mathematical Society, v. 148, n. 6, p. 2421-2432, JUN 2020. (14/09310-5)

FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE; ZHANG, JIAN. Gelfand-Tsetlin representations of finite W-algebras. Journal of Pure and Applied Algebra, v. 224, n. 5, MAY 2020. (15/05927-0, 14/09310-5, 18/17955-7)

BOVDI, V. A.; GRISHKOV, A. N.. UNITARY AND SYMMETRIC UNITS OF A COMMUTATIVE GROUP ALGEBRA. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 62, n. 3, p. 641-654, AUG 2019. (14/09310-5)

FAGUNDES, PEDRO S.; DE MELLO, THIAGO C.. IMAGES OF MULTILINEAR POLYNOMIALS OF DEGREE UP TO FOUR ON UPPER TRIANGULAR MATRICES. OPERATORS AND MATRICES, v. 13, n. 1, p. 283-292, MAR 2019. (14/09310-5)

BAVULA, VOLODYMYR; FUTORNY, VYACHESLAV. Rings of invariants of finite groups when the bad primes exist. COMMUNICATIONS IN ALGEBRA, v. 47, n. 10, MAR 2019. (14/09310-5, 17/02946-0)

BIANCHI, ANGELO; DINIZ, DIOGO. Identities and isomorphisms of finite-dimensional graded simple algebras. Journal of Algebra, v. 526, p. 333-344, MAY 15 2019. (14/09310-5)

MURAKAMI, L. S. I.; PCHELINTSEV, S. V.; SHASHKOV, O. V.. Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part. Journal of Algebra, v. 528, p. 150-176, JUN 1 2019. (14/09310-5)

FUTORNY, VYACHESLAV; KRIZKA, LIBOR; SOMBERG, PETR. Geometric realizations of affine Kac-Moody algebras. Journal of Algebra, v. 528, p. 177-216, JUN 1 2019. (14/09310-5)

FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. Drinfeld category and the classification of singular Gelfand-Tsetlin -modules. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 2019, n. 5, p. 1463-1478, MAR 2019. (14/09310-5)

KUZ'MIN, ALEXEY; SHESTAKOV, IVAN. Basic superranks for varieties of algebras. Journal of Algebra, v. 478, p. 58-91, MAY 15 2017. (14/09310-5, 10/51880-2)

KOSHLUKOV, PLAMEN; YUKIHIDE, FELIPE. Group gradings on the Lie algebra of upper triangular matrices. Journal of Algebra, v. 477, p. 294-311, MAY 1 2017. (14/09310-5, 13/22802-1)

FUTORNY, VYACHESLAV; SCHWARZ, JOAO. Galois orders of symmetric differential operators. ALGEBRA & DISCRETE MATHEMATICS, v. 23, n. 1, p. 35-46, 2017. (14/09310-5, 14/25612-1)

GONCALVES, DIMAS JOSE; SCHUETZER, WALDECK; TALPO, HUMBERTO LUIZ. On Ideals That Are Closed Under Continuous Endomorphisms. COMMUNICATIONS IN ALGEBRA, v. 44, n. 6, p. 2583-2591, 2016. (14/09310-5)

GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, CLAUDIA I.. On Jordan-Nilalgebras of Index 3. COMMUNICATIONS IN ALGEBRA, v. 44, n. 10, p. 4277-4293, 2016. (14/09310-5)

MOURA, A.; PEREIRA, F.. ON TENSOR PRODUCTS OF A MINIMAL AFFINIZATION WITH AN EXTREME KIRILLOV-RESHETIKHIN MODULE FOR TYPE A. TRANSFORMATION GROUPS, v. 23, n. 4, p. 989-1044, DEC 2018. (14/09310-5, 09/16309-5)

MARCOS, E.; MENDOZA, O.; SAENZ, C.; SANTIAGO, V.. Standardly stratified lower triangular K-algebras with enough idempotents. Journal of Pure and Applied Algebra, v. 227, n. 5, p. 23-pg., 2023-05-01. (14/09310-5)

MARCOS, E.; VOLKOV, Y.. Homogeneous algebras via homogeneous triples. Journal of Algebra, v. 566, p. 24-pg., 2021-01-15. (14/09310-5)

SHESTAKOV, IVAN; ZELMANOV, EFIM. A finite presentation of Jordan algebras. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 28, n. 8, p. 12-pg., 2018-12-01. (14/09310-5)

CALIXTO, LUCAS; MOURA, ADRIANO; SAVAGE, ALISTAIR. Equivariant Map Queer Lie Superalgebras. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v. 68, n. 2, p. 258-279, APR 2016. (13/08430-4, 14/09310-5)

BILLIG, YULY; FUTORNY, VYACHESLAV. Lie algebras of vector fields on smooth ane varieties. COMMUNICATIONS IN ALGEBRA, v. 46, n. 8, p. 3413-3429, 2018. (15/05859-5, 14/09310-5)

COX, BEN; FUTORNY, VYACHESLAV; MISRA, KAILASH C.. Imaginary Verma modules for U-q<((sl(2)))over cap> and crystal-like bases. Journal of Algebra, v. 481, p. 12-35, JUL 1 2017. (14/09310-5)

PEREIRA DA SILVA E SILVA, DIOGO DINIZ; DE MELLO, THIAGO CASTILHO. Graded identities of block-triangular matrices. Journal of Algebra, v. 464, p. 246-265, OCT 15 2016. (14/09310-5, 14/10352-4)

ESHMATOV, FARKHOD; FUTORNY, VYACHESLAV; OVSIENKO, SERGIY; SCHWARZ, JOAO FERNANDO. NONCOMMUTATIVE NOETHER'S PROBLEM FOR COMPLEX REFLECTION GROUPS. Proceedings of the American Mathematical Society, v. 145, n. 12, p. 5043-5052, DEC 2017. (13/22068-6, 14/25612-1, 14/09310-5)

MOSTOVOY, J.; PEREZ-IZQUIERDO, J. M.; SHESTAKOV, I. P.. A NON-ASSOCIATIVE BAKER-CAMPBELL-HAUSDORFF FORMULA. Proceedings of the American Mathematical Society, v. 145, n. 12, p. 5109-5122, DEC 2017. (14/09310-5)

KOSHLUKOV, PLAMEN; YUKIHIDE, FELIPE. Elementary gradings on the Lie algebra UTn(-). Journal of Algebra, v. 473, p. 66-79, MAR 1 2017. (13/22802-1, 14/09310-5)

KOSHLUKOV, PLAMEN; YASUMURA, FELIPE YUKIHIDE. Group gradings on the Jordan algebra of upper triangular matrices. Linear Algebra and its Applications, v. 534, p. 1-12, DEC 1 2017. (13/22802-1, 14/09310-5)

FREITAS, JOSE A.; KOSHLUKOV, PLAMEN; KRASILNIKOV, ALEXEI. Z-graded identities of the Lie algebra W-1. Journal of Algebra, v. 427, p. 226-251, APR 1 2015. (09/00091-0, 14/09310-5)

DI VINCENZO, ONOFRIO MARIO; KOSHLUKOV, PLAMEN; TOMAZ DA SILVA, VIVIANE RIBEIRO. On Z(p)-graded identities and cocharacters of the Grassmann algebra. COMMUNICATIONS IN ALGEBRA, v. 45, n. 1, p. 343-356, 2017. (14/09310-5)

BIANCHI, ANGELO CALIL; VELOSO, MARCELO OLIVEIRA. Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces. Journal of Algebra, v. 469, p. 96-108, JAN 1 2017. (14/09310-5)

POZHIDAEV, A. P.; SHESTAKOV, I. P.. Simple finite-dimensional modular noncommutative Jordan superalgebras. Journal of Pure and Applied Algebra, v. 223, n. 6, p. 2320-2344, JUN 2019. (14/13271-5, 14/09310-5)

FUTORNY, VYACHESLAV; GROCHOW, JOSHUA A.; SERGEICHUK, VLADIMIR V.. Wildness for tensors. Linear Algebra and its Applications, v. 566, p. 212-244, APR 1 2019. (14/09310-5, 15/05864-9)

SHESTAKOV, IVAN; GUEYE, CT; MOLINA, MS. On Commuting U-Operators in Jordan Algebras. NON-ASSOCIATIVE AND NON-COMMUTATIVE ALGEBRA AND OPERATOR THEORY, NANCAOT, v. 160, p. 5-pg., 2016-01-01. (14/09310-5)

FUTORNY, VYACHESLAV; KASHUBA, IRYNA. Structure of parabolically induced modules for affine Kac-Moody algebras. Journal of Algebra, v. 500, n. SI, p. 362-374, APR 15 2018. (14/09310-5, 16/08740-1)

CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. Jacobi-Zariski long nearly exact sequences for associative algebras. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, JUN 2021. (14/09310-5)

FONSECA, CLAUDIA CAVALCANTE; IUSENKO, KOSTIANTYN. On dimension of poset variety. Linear Algebra and its Applications, v. 568, p. 155-164, MAY 1 2019. (14/09310-5, 15/00116-4)

QUINTERO VANEGAS, E. O.; GUTIERREZ FERNANDEZ, JUAN C.. Nilpotent linear spaces and Albert's Problem. Linear Algebra and its Applications, v. 518, p. 57-78, APR 1 2017. (14/09310-5)

FUTORNY, VYACHESLAV; HORN, ROGER A.; SERGEICHUK, VLADIMIR V.. Specht's criterion for systems of linear mappings. Linear Algebra and its Applications, v. 519, p. 278-295, APR 15 2017. (14/09310-5, 15/05864-9)

FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE; ZHANG, JIAN. Gelfand-Tsetlin modules of quantum gl(n) defined by admissible sets of relations. Journal of Algebra, v. 499, p. 375-396, APR 1 2018. (14/09310-5, 15/05927-0)

FUTORNY, VYACHESLAV; KLYMCHUK, TETIANA; PETRAVCHUK, ANATOLII P.; SERGEICHUK, VLADIMIR V.. Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras. Linear Algebra and its Applications, v. 536, p. 201-209, JAN 1 2018. (14/09310-5, 15/05864-9)

PCHELINTSEV, S. V.; SHESTAKOV, I. P.. CONSTANTS OF PARTIAL DERIVATIONS AND PRIMITIVE OPERATIONS. Algebra and Logic, v. 56, n. 3, p. 210-231, JUL 2017. (14/09310-5)

FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. Singular Gelfand-Tsetlin modules of gl(n). ADVANCES IN MATHEMATICS, v. 290, p. 453-482, FEB 26 2016. (11/21621-8, 14/09310-5, 12/23450-9)

KOSHLUKOV, PLAMEN; LA MATTINA, DANIELA. Graded algebras with polynomial growth of their codimensions. Journal of Algebra, v. 434, p. 115-137, JUL 15 2015. (14/09310-5, 14/07021-6)

FUTORNY, VYACHESLAV; KLYMCHUK, TETIANA; SERGEICHUK, VLADIMIR V.. Roth's solvability criteria for the matrix equations AX - (X)over-capB = C and X - A(X)over-capB = C over the skew field of quaternions with an involutive automorphism q -> (q)over-cap. Linear Algebra and its Applications, v. 510, p. 246-258, DEC 1 2016. (14/09310-5, 15/05864-9)

FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. New Singular Gelfand-Tsetlin gl(n)-Modules of Index 2. Communications in Mathematical Physics, v. 355, n. 3, p. 1209-1241, NOV 2017. (14/09310-5)

JAKELIC, DIJANA; MOURA, ADRIANO. Limits of Multiplicities in Excellent Filtrations and Tensor Product Decompositions for Affine Kac-Moody Algebras. ALGEBRAS AND REPRESENTATION THEORY, v. 21, n. 1, p. 239-258, FEB 2018. (14/09310-5)

QUINTERO VANEGAS, E. O.; GUTIERREZ FERNANDEZ, JUAN C.. Power associative nilalgebras of dimension 9. Journal of Algebra, v. 495, p. 233-263, FEB 1 2018. (14/09310-5)

FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE; ZHANG, JIAN. Irreducible subquotients of generic Gelfand-Tsetlin modules over U-q(gl(n)). Journal of Pure and Applied Algebra, v. 222, n. 10, p. 3182-3194, OCT 2018. (15/05927-0, 14/09310-5)

LANZILOTTA, MARCELO; MARCOS, EDUARDO; MATA, GUSTAVO. Igusa Todorov functions for radical square zero algebras. Journal of Algebra, v. 487, p. 357-385, OCT 1 2017. (14/09310-5)

COX, BEN; JURISICH, ELIZABETH; MARTINS, RENATO A.. The three point gauge algebra nu (sic) sl(2, R) circle plus (Omega(R)/dR) and its action on a Fock space. Journal of Algebra, v. 521, p. 44-64, MAR 1 2019. (14/09310-5)

COX, BEN; FUTORNY, VYACHESLAV; MISRA, KAILASH C.. Imaginary Verma modules and Kashiwara algebras for U-q((g)over-cap). Journal of Algebra, v. 424, p. 390-415, FEB 15 2015. (14/09310-5)

GONCALVES FONSECA, LUIS FELIPE; DE MELLO, THIAGO CASTILHO. Degree-inverting involutions on matrix algebras. LINEAR & MULTILINEAR ALGEBRA, v. 66, n. 6, p. 1104-1120, 2018. (14/10352-4, 14/09310-5)

GREEN, EDWARD L.; MADSEN, DAG OSKAR; MARCOS, EDUARDO. Cohomological comparison theorem. Journal of Pure and Applied Algebra, v. 219, n. 12, p. 5573-5589, DEC 2015. (14/09310-5)

ALVARES, EDSON RIBEIRO; LE MEUR, PATRICK; MARCOS, EDUARDO N.. The strong global dimension of piecewise hereditary algebras. Journal of Algebra, v. 481, p. 36-67, JUL 1 2017. (14/09310-5)

DMYTRYSHYN, ANDRII; FUTORNY, VYACHESLAV; KLYMCHUK, TETIANA; SERGEICHUK, VLADIMIR V.. Generalization of Roth's solvability criteria to systems of matrix equations. Linear Algebra and its Applications, v. 527, p. 294-302, AUG 15 2017. (14/09310-5, 15/05864-9)

VISHNYAKOVA, E. G.. Vector fields on gl(m vertical bar n)(C)-flag supermanifolds. Journal of Algebra, v. 459, p. 1-28, AUG 1 2016. (14/09310-5)

CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. Han's conjecture for bounded extensions. Journal of Algebra, v. 598, p. 20-pg., 2022-05-15. (14/09310-5)

CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. SPLIT BOUNDED EXTENSION ALGEBRAS AND HAN'S CONJECTURE. PACIFIC JOURNAL OF MATHEMATICS, v. 307, n. 1, p. 63-77, JUL 2020. (14/09310-5)

MARCOS, EDUARDO DO N.; MOREIRA, MARCELO. iecewise hereditary incidence algebras of Dynkin and extended Dynkin typ. COMMUNICATIONS IN ALGEBRA, v. 50, n. 3, SEP 2021. (14/09310-5)

IUSENKO, KOSTIANTYN; MACQUARRIE, JOHN WILLIAM; QUIRINO, SAMUEL. A Functorial Approach to Gabrielk-quiver Constructions for Coalgebras and Pseudocompact Algebras. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 52, n. 3, p. 697-719, SEP 2021. (18/23690-6, 14/09310-5)

QUISPE URURE, RONALD ISMAEL; GONCALVES, DIMAS JOSE. Central polynomials with involution for the algebra of 2 x 2 upper triangular matrices. LINEAR & MULTILINEAR ALGEBRA, v. 69, n. 10, AUG 2019. (14/09310-5)

CORTES, WAGNER; MARCOS, EDUARDO N.. Description of partial actions. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, SEP 2021. (14/09310-5)

MOSTOVOY, JACOB; PEREZ-IZQUIERDO, JOSE M.; SHESTAKOV, IVAN P.. ON TORSION-FREE NILPOTENT LOOPS. QUARTERLY JOURNAL OF MATHEMATICS, v. 70, n. 3, p. 1091-1104, SEP 2019. (14/09310-5)

CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. Hochschild cohomology of algebras arising from categories and from bounded quivers. JOURNAL OF NONCOMMUTATIVE GEOMETRY, v. 13, n. 3, p. 1011-1053, 2019. (14/09310-5)

FUTORNY, VYACHESLAV; KRIZKA, LIBOR; ZHANG, JIAN. Generalized Verma Modules over U-q(sl(n)(C)). ALGEBRAS AND REPRESENTATION THEORY, v. 23, n. 3, p. 811-832, JUN 2020. (15/05927-0, 14/09310-5)

FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE; ZHANG, JIAN. Explicit construction of irreducible modules for U-q(gl(n)). SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 13, n. 1, p. 83-95, JUN 2019. (15/05927-0, 14/09310-5, 18/17955-7)

PETROGRADSKY, VICTOR; SHESTAKOV, I. P.. On Jordan doubles of slow growth of Lie superalgebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 13, n. 1, p. 158-176, JUN 2019. (14/09310-5, 16/18068-9)

GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, CLAUDIA I.. Derivations of Lotka-Volterra algebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 13, n. 1, p. 292-304, JUN 2019. (14/09310-5)

FUTORNY, VYACHESLAV; KRIZKA, LIBOR; ZHANG, JIAN. Quantum Howe duality and invariant polynomials. Journal of Algebra, v. 530, p. 326-367, JUL 15 2019. (15/05927-0, 14/09310-5)

IUSENKO, KOSTIANTYN; MACQUARRIE, JOHN WILLIAM. The Path Algebra as a Left Adjoint Functor. ALGEBRAS AND REPRESENTATION THEORY, v. 23, n. 1, p. 33-52, FEB 2020. (14/09310-5)

FUTORNY, VYACHESLAV; KRIZKA, LIBOR. Geometric construction of Gelfand-Tsetlin modules over simple Lie algebras. Journal of Pure and Applied Algebra, v. 223, n. 11, p. 4901-4924, NOV 2019. (14/09310-5)

FOURIER, GHISLAIN; MARTINS, VICTOR; MOURA, ADRIANO. On truncated Weyl modules. COMMUNICATIONS IN ALGEBRA, v. 47, n. 3, p. 1125-1146, MAR 4 2019. (14/09310-5)

FUTORNY, VYACHESLAV; IUSENKO, KOSTIANTYN. Stable representations of posets. Journal of Pure and Applied Algebra, v. 223, n. 12, p. 5251-5278, DEC 2019. (14/09310-5, 15/00116-4)

FUTORNY, VYACHESLAV; KOCHLOUKOVA, DESSISLAVA H.; SIDKI, SAID N.. On self-similar Lie algebras and virtual endomorphisms. MATHEMATISCHE ZEITSCHRIFT, v. 292, n. 3-4, p. 1123-1156, AUG 2019. (16/05271-0, 14/09310-5, 16/05678-3)

GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, I, CLAUDIA. On Lotka-Volterra algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 18, n. 10, OCT 2019. (14/09310-5)

MARCOS, EDUARDO N.; SOLOTAR, ANDREA; VOLKOV, YURY. Generating degrees for graded projective resolutions. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 17, n. 10, OCT 2018. (14/19521-3, 14/09310-5)

BRANDAO, JR., ANTONIO PEREIRA; GONCALVES, DIMAS JOSE; KOSHLUKOV, PLAMEN. Graded A-identities for the matrix algebra of order two. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 26, n. 8, p. 1617-1631, DEC 2016. (14/09310-5)

GRISHKOV, ALEXANDER; ZUSMANOVICH, PASHA. Deformations of current Lie algebras. I. Small algebras in characteristic 2. Journal of Algebra, v. 473, p. 513-544, MAR 1 2017. (14/09310-5, 13/12050-2)

DA FONSECA, CARLOS M.; FUTORNY, VYACHESLAV; RYBALKINA, TETIANA; SERGEICHUK, VLADIMIR V.. Topological classification of systems of bilinear and sesquilinear forms. Linear Algebra and its Applications, v. 515, p. 1-5, FEB 15 2017. (14/09310-5, 15/05864-9)

FOLLECO SOLARTE, OLMER; SHESTAKOV, IVAN. Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Journal of Algebra, v. 455, p. 291-313, JUN 1 2016. (14/09310-5)

CIBILS, CLAUDE; MARCOS, EDUARDO N.. Invariants of a free linear category and representation type. Journal of Pure and Applied Algebra, v. 220, n. 9, p. 3119-3132, SEP 2016. (14/09310-5)

GONCALVES, DIMAS JOSE; SCHUTZER, WALDECK; TALPO, HUMBERTO LUIZ. A-identities for the 2 x 2 matrix algebra. ARCHIV DER MATHEMATIK, v. 106, n. 5, p. 417-429, MAY 2016. (14/09310-5)

FUTORNY, VYACHESLAV; LIU, GENQIANG; LU, RENCAI; ZHAO, KAIMING. New families of irreducible weight modules over sl(3). Journal of Algebra, v. 501, p. 458-472, MAY 1 2018. (14/09310-5, 15/08615-0)

QUISPE URURE, RONALD ISMAEL; GONCALVES, DIMAS JOSE. Identities with involution for 2 x 2 upper triangular matrices algebra over a finite field. Linear Algebra and its Applications, v. 544, p. 223-253, MAY 1 2018. (14/09310-5)

BAVULA, V.; BEKKERT, V.; FUTORNY, V.. INDECOMPOSABLE GENERALIZED WEIGHT MODULES OVER THE ALGEBRA OF POLYNOMIAL INTEGRO-DIFFERENTIAL OPERATORS. Proceedings of the American Mathematical Society, v. 146, n. 6, p. 2373-2380, JUN 2018. (13/24392-5, 14/09310-5)

MARCOS, EDUARDO DO NASCIMENTO; VOLKOV, YURY. Homogeneous triples for homogeneous algebras with two relations. Journal of Algebra, v. 599, p. 47-pg., 2022-02-28. (18/07046-0, 14/09310-5)

COX, BEN; FUTORNY, VYACHESLAV; MISRA, KAILASH C.; JING, N; MISRA, KC. Imaginary crystal bases for U-q(<(sl(2))over cap>)-modules in category O-red,im(q). REPRESENTATIONS OF LIE ALGEBRAS, QUANTUM GROUPS AND RELATED TOPICS, v. 713, p. 13-pg., 2018-01-01. (14/09310-5)

FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE; JING, N; MISRA, KC. Gelfand-Tsetlin modules of sl(3) in the principal block. REPRESENTATIONS OF LIE ALGEBRAS, QUANTUM GROUPS AND RELATED TOPICS, v. 713, p. 14-pg., 2018-01-01. (14/09310-5)

FUTORNY, VYACHESLAV; KASHUBA, IRYNA. Structure of parabolically induced modules for affine Kac-Moody algebras. Journal of Algebra, v. 500, p. 13-pg., 2018-04-15. (16/08740-1, 14/09310-5)