Algebraic structures and their representations

• Grant number: 14/09310-5
• Support Opportunities: Research Projects - Thematic Grants
• Start date: October 01, 2014
• End date: September 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Pesquisadores principais: Adriano Adrega de Moura ; Alexandre Grichkov ; Eduardo do Nascimento Marcos ; Ivan Chestakov ; Plamen Emilov Kochloukov
• Associated researchers: 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
• Associated research grant(s): 18/19908-6 - Sixth Conference on Geometric Methods in Representation Theory, AR.EXT; 18/08104-3 - Tilting theory over weighted projective lines, AV.BR; 18/05372-7 - Simple finite-dimensional left-symmetric (super)algebras, AV.EXT; + associated grants 18/09719-1 - Incoherent minimal affinizations, AV.EXT; 18/03717-7 - The problem of speciality of Malcev algebras, AV.EXT; 18/08907-9 - Exceptional sequences of coherent sheaves, AV.EXT; 18/11292-6 - Moufang Loops and related algebras, AV.EXT; 18/06777-0 - Representations of the periplectic Lie superalgebra, AV.EXT; 18/07046-0 - S-homogeneous algebras, AV.EXT; 18/07038-7 - Han's conjecture, AV.EXT; 17/24563-5 - Linear and unitary representations of posets: subspaces, a quadratic form, and induced modules, AV.EXT; 17/19777-6 - Anderson t-motives, their L-functions and lattices, AV.BR; 17/14492-3 - Code loops and Malcev algebras, AV.EXT; 17/14489-2 - Loops de Moufang Loops and related groups, AV.EXT; 17/04846-2 - Simple right alternative superalgebras with some conditions on even parts, AV.EXT; 16/50475-3 - Representation Theory of Lie algebras of vector fields on smooth algebraic manifolds, AP.R SPRINT; 17/02946-0 - Polynomial integro-differential operators and their representations, AV.EXT; 16/18068-9 - Combinatorial aspects of Lie Algebras and of noncomutative algebras, AV.BR; 16/19459-1 - Algebras whose generating ideals have small Groebner basis, AV.EXT; 16/07265-8 - Algebraic structures in integrability theory, AV.EXT; 15/25280-1 - Stable tameness of the automorphisms of ane algebras, AV.EXT; 15/05859-5 - Lie algebras of vector fields on algebraic varieties, AV.EXT; 15/08615-0 - Simple representations of Witt and Kac-Moody algebras, AV.EXT; 15/05864-9 - Classification problems in linear algebra and system theory, AV.EXT; 15/06469-6 - Representations of W-algebras, AV.EXT; 15/07917-2 - Bi-algebras in generalized Lie Theory, AV.EXT; 15/07245-4 - Moufang Loops and Malcev algebras, AV.EXT; 14/21137-7 - Non-associative Hopf algebras and Sabinin algebras, AV.EXT - associated grants
• Associated scholarship(s): 18/17464-3 - Polynomial identities and superinvolutions, BP.PD; 18/12382-9 - Representations of current Lie algebras, BP.MS; 17/25777-9 - Representations of Jordan superalgebras, BE.PQ; + associated scholarships 18/07593-0 - 3-point Virasoro algebra action on free field realization and gerbes, BE.PQ; 18/05183-0 - Introduction to the representation theory of affine Kac-Moody Algebras, BP.IC; 18/07628-9 - Affine wreath product algebras, BP.MS; 18/05091-8 - A free resolution for certain algebras, BP.MS; 18/06471-9 - 2 theorems of Gabriel 2, BP.IC; 17/21429-6 - The structure problems of Zinbiel-Lie and Novikov-Jordan algebras, BP.PD; 17/11050-0 - Mischenko-Fomenko subalgebras of universal enveloping algebras of simple Lie algebras, BP.MS; 16/25984-1 - Gelfand-Tsetlin modules for Lie algebras, BP.PD; 16/06133-0 - Non-associative systems and their applications, BE.PQ; 16/09496-7 - The Lvov-Kaplansky conjecture, BP.MS; 16/09809-5 - Applications of the Groebner Basis Theory to the computation of the Hochschild cohomology, BP.MS; 15/05927-0 - Quantum determinants and categorification of quantum groups, BP.PD; 15/15901-9 - Derived bracket formalism in algebra and geometry and Gelfand-Tsetlin modules for Lie superalgebras, BP.PD; 15/17611-8 - Finite geometries, its automorphisms and related algebraic systems., BP.DR; 14/25612-1 - Extensions of Noether's problem and Gelfand-Kirillov's conjecture to certain classes of noncommutative algebras, BP.DR - associated scholarships

Abstract

The project will be devoted to the study of Lie and Jordan algebras and superalgebras and their representations. Besides, alternative and Malcev algebras and superalgebras will be considered, loop de Moufang, Calabi-Yau algebras, Yoneda algebras and various generalizations and quantizations of algebras mentioned above. (AU)

Scientific publications

(108)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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. (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)

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)

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)

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; 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)

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)

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)

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)

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; 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)

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)

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)

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)

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)

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)

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)

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, 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)

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)

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)

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)

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)

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

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)