Estruturas, representações e aplicações de sistemas algébricos

• Processo: 18/23690-6
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Data de Início da vigência: 01 de julho de 2019
• Data de Término da vigência: 30 de junho de 2024
• Área do conhecimento: Ciências Exatas e da Terra - Matemática - Álgebra
• Pesquisador responsável: Ivan Chestakov
• Beneficiário: Ivan Chestakov
• 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 ; Dessislava Hristova Kochloukova ; Eduardo do Nascimento Marcos ; Plamen Emilov Kochloukov ; Vyacheslav Futorny
• Pesquisadores associados: Alexandr Kornev ; Angelo Calil Bianchi ; Artem Lopatin ; Dimas José Gonçalves ; Felipe Yukihide Yasumura ; Fernanda de Andrade Pereira ; Henrique Guzzo Junior ; Iryna Kashuba ; Juan Carlos Gutiérrez Fernández ; Kostiantyn Iusenko ; Lucia Satie Ikemoto Murakami ; Lucio Centrone ; Luis Enrique Ramírez ; Renato Alessandro Martins ; Thiago Castilho de Mello ; Vladimir Sokolov
• Auxílio(s) vinculado(s): 24/03641-1 - Sistemas estratificantes em Álgebra Homológica superior., AV.EXT; 24/01973-7 - As curvas parametrizáveis por polinômios, AV.EXT; 23/14060-7 - PDE de involução integraveis e loops de Bol, AV.EXT; + mais auxílios vinculados 23/01159-5 - Bimódulos sobre álgebras semisimples em algumas classes de álgebras alternativas à direita, AV.EXT; 22/10889-4 - Álgebras de Lie autossimilares, AV.BR; 22/10933-3 - Interações entre teoria de operados e teoria de anéis, AV.EXT; 22/06340-7 - Non-Associative Algebras and Related TopicsII, AR.EXT; 21/12820-9 - Loops e as álgebras relacionadas, AV.EXT; 21/09845-0 - Invariância conforme da função de densidade de probabilidade para campos escalares passivos (incluindo vírus arbitrários) em turbulência 2D: a prova da conjectura de Polyakov, AV.EXT; 19/23251-5 - Representações de Álgebras de Lie de campos vetorias sobre variedades algébricas, AP.R SPRINT; 19/24418-0 - Problema de Burnside restrito, Loops de Moufang reductivos e suas álgebras tangentes Liudmila, AV.EXT - menos auxílios vinculados
• Bolsa(s) vinculada(s): 24/01338-0 - Propriedade de Specht e identidades polinomiais graduadas para algumas álgebras não associativas, BP.PD; 23/17046-5 - Álgebra em Ação, BP.IC; 23/13047-7 - Estrutura de anéis e aplicações, BP.IC; + mais bolsas vinculadas 23/03922-8 - Superidentidades polinomiais de superálgebras simples, BE.PQ; 23/01020-7 - Deformações de álgebras de dimensão finita., BP.MS; 23/01673-0 - Produto tensorial graduado e álgebras regulares, BP.DR; 23/01635-1 - Identidades com traço e teoria dos invariantes, BP.MS; 23/01710-3 - Álgebra não comutativa, BP.IC; 22/13058-6 - Imagens de polinômios em álgebras com estruturas adicionais, BP.MS; 22/12883-3 - Regiões Quivers, Instantons sobre variedades Fano, BP.PD; 22/12510-2 - Análise, Álgebra e aplicações, BP.IC; 22/02571-4 - Sobre aplicações preservando algumas identidades em estruturas algébricas não-associativas, BP.DR; 22/05183-5 - Estruturas algébricas e aplicações, BP.IC; 22/00024-6 - Representações de álgebras de Lie de dimensão infinita e teoria de álgebras de vértice, BP.PD; 21/13052-5 - Loops e grupos relacionados, BP.PD; 22/00376-0 - (Co)homologia de Hochschild e dimensão global, BP.IC; 21/13022-9 - Representações de álgebras e superálgebras de Lie, BP.PD; 21/14493-5 - (Co)homologia de Hochschild, BP.IC; 21/12353-1 - Imagens de polinômios em álgebras, BP.IC; 20/16595-7 - Identidades polinomiais e seus invariantes numéricos, BP.MS; 21/10214-4 - Dois teoremas de Gabriel, BP.IC; 21/03733-5 - Identidades polinomiais da álgebra de matrizes com estruturas adicionais, BP.PD; 20/13811-0 - Representações de Álgebras de Lie de campos vetoriais em variedades algébricas, BP.DR; 20/14281-5 - Representações de Superálgebras de Lie afins torcidas e suas quantizações, BP.PD; 20/14313-4 - Representações cuspidais de Álgebras de Lie, BP.DR; 20/10831-0 - Teoria dos grupos e o o teorema de Bezout para curvas, BP.IC; 20/11159-4 - Teoria dos grupos e o teorema de Gabriel, BP.IC; 19/12498-0 - Identidades polinomiais graduadas e com traço, e teoria dos invariantes, BP.PD; 19/23380-0 - Módulos de Weyl e a dualidade de Frobenius-Schur, BP.MS; 19/24494-9 - Representações de W-álgebras, BP.DR; 19/22813-0 - Álgebras com identidades polinomiais, BP.IC; 19/16994-1 - Álgebras que são soma de duas subálgebras PI, BP.DR; 19/17085-5 - Grupos, representações e aplicações, BP.IC; 19/17092-1 - Grupos, corpos, teoria de Galois e aplicações, BP.IC - menos bolsas vinculadas
• Assunto(s): Superálgebras Álgebra homológica Loop de Moufang Teoria dos anéis Anéis e álgebras não associativos Representações de grupos algébricos
• Palavra(s)-Chave do Pesquisador: álgebra e superálgebra | Loops | métodos homológicos e geométricos | módulo e bimódulo | Representação | teoria combinatória de anéis | Álgebras não-associativas

Resumo

A maior parte do projeto será dedicada às álgebras e superálgebras de Lie e de Jordan e às suas representações. Além disso, as álgebras e superálgebras alternativas e de Malcev serão considerados, os loops de Moufang e várias generalizações e aplicações de álgebras mencionadas acima. Os sistemas álgebricos relacionados com sistemas integráveis de equações diferenciais serão consideradas. Métodos homológicos serão aplicados na teoria de representações e estruturas algébricas finitamente apresentáveis. As linhas do projeto de pesquisa concentram-se nos seguintes temas: representações de álgebras e superálgebras de Lie; questões estruturais para representações de álgebras de Kac-Moody afins e suas generalizações; álgebras não associativas, suas aplicações e generalizações; representações de superálgebras de Lie e de Jordan, aplicação de construção de Tits-Kantor-Koecher a álgebra de Jordan livre; teoria combinatória de anéis e álgebras; teoria de loops, suas relações e aplicações; sistemas integráveis e estruturas não-associativas; representações de álgebras: métodos homológicos e geométricos; estruturas algébricas finitamente apresentáveis e de tipo homológico FP m. (AU)

Publicações científicas

(87)

(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, I.; ZAICEV, M.. Eventually non-decreasing codimensions of {*}-identities. ARCHIV DER MATHEMATIK, v. 116, n. 4, JAN 2021. (19/02510-2, 18/23690-6)

MACEDO FERREIRA, BRUNO LEONARDO; GUZZO JR, HENRIQUE; FERREIRA, RUTH NASCIMENTO. An Approach Between the Multiplicative and Additive Structure of a Jordan Ring. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, JUL 2020. (18/23690-6)

BIANCHI, ANGELO; CHAMBERLIN, SAMUEL. Weyl modules and Weyl functors for hyper-map algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 20, n. 1, SI, JAN 2021. (15/22040-0, 18/23690-6)

FUTORNY, VYACHESLAV. Representations of Lie algebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, JUN 2021. (18/23690-6)

BEHN, A.; CORREA, IVAN; GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, I, C.. About nilalgebras satisfying (xy)(2) = x(2)y(2). COMMUNICATIONS IN ALGEBRA, MAR 2021. (18/23690-6)

DE MELLO, THIAGO CASTILHO. Homogeneous involutions on upper triangular matrices. ARCHIV DER MATHEMATIK, v. 118, n. 4, p. 10-pg., 2022-03-10. (18/23690-6, 18/15627-2)

KOCHLOUKOVA, DESSISLAVA HRISTOVA; MENDONCA, LUIS. On the Bieri-Neumann-Strebel-Renz Sigma-invariants of the Bestvina-Brady groups. FORUM MATHEMATICUM, v. 34, n. 3, p. 22-pg., 2022-03-01. (18/23690-6)

CAVALCANTE, FELIPE BARBOSA; LOPATIN, ARTEM. Separating invariants of three nilpotent 3 x 3 matrices. Linear Algebra and its Applications, v. 607, p. 20-pg., 2020-12-15. (18/23690-6)

KOCHLOUKOVA, DESSISLAVA H.; MENDONCA, LUIS. Weak commutativity for pro-pgroups. MONATSHEFTE FUR MATHEMATIK, v. 194, n. 3, p. 555-575, MAR 2021. (15/22064-6, 18/23690-6)

FUTORNY, VYACHESLAV; SCHWARZ, JOAO. Algebras of invariant differential operators. Journal of Algebra, v. 542, p. 215-229, JAN 15 2020. (18/18146-5, 16/14648-0, 14/25612-1, 18/23690-6)

GRISHKOV, ALEXANDER; GUZZO, HENRIQUE; RASSKAZOVA, MARINA; ZUSMANOVICH, PASHA. On simple 15-dimensional Lie algebras in characteristic 2. Journal of Algebra, v. 593, p. 24-pg., 2022-03-01. (18/11292-6, 18/23690-6)

FIDELIS, CLAUDEMIR; GUIMARAES, ALAN; KOSHLUKOV, PLAMEN. A note on Z-gradings on the Grassmann algebra and elementary number theory. LINEAR & MULTILINEAR ALGEBRA, v. N/A, p. 21-pg., 2022-04-07. (18/23690-6, 19/12498-0)

GONCALVES, DIMAS JOSE; RIVA, EVANDRO. Graded polynomial identities for the upper triangular matrix algebra over a finite field. Journal of Algebra, v. 559, p. 625-645, OCT 1 2020. (18/23690-6)

CENTRONE, LUCIO; GONCALVES, DIMAS JOSE; SILVA, DALTON COUTO. Identities and central polynomials with involution for the Grassmann algebra. Journal of Algebra, v. 560, p. 219-240, OCT 15 2020. (18/02108-7, 18/23690-6)

SHESTAKOV, IVAN; ZAICEV, MIKHAIL. Codimension growth of simple Jordan superalgebras. Israel Journal of Mathematics, v. 245, n. 2, OCT 2021. (19/02510-2, 18/23690-6)

GRISHKOV, ALEXANDER; RASSKAZOVA, MARINA; SABININA, LIUDMILA; SALIM, MOHAMED. On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops. Journal of Algebra, v. 575, p. 67-77, JUN 1 2021. (19/24418-0, 18/23690-6, 18/11292-6)

GUIMARAES, ALAN DE ARAUJO; KOSHLUKOV, PLAMEN. Z-graded polynomial identities of the Grassmann algebra. Linear Algebra and its Applications, v. 617, p. 190-214, MAY 15 2021. (18/23690-6)

GONCALVES, DIMAS JOSE; KOSHLUKOV, PLAMEN; SALOMAO, MATEUS EDUARDO. Polynomial identities for the Jordan algebra of 2 x 2 upper triangular matrices. Journal of Algebra, v. 593, p. 30-pg., 2022-03-01. (18/23690-6)

FUTORNY, VYACHESLAV; SCHWARZ, JOAO; SHESTAKOV, IVAN. LD-stability for Goldie rings. Journal of Pure and Applied Algebra, v. 225, n. 11, NOV 2021. (18/23690-6, 18/18146-5)

FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. Classification of simple Gelfand-Tsetlin modules of sl(3). BULLETIN OF MATHEMATICAL SCIENCES, v. 11, n. 03, DEC 2021. (18/17955-7, 18/23690-6)

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)

BEHN, A.; CORREA, IVAN; GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, I, C.. About nilalgebras satisfying (xy)(2) = x(2)y(2). COMMUNICATIONS IN ALGEBRA, v. 49, n. 9, p. 3708-3719, SEP 2 2021. (18/23690-6)

DA SILVA MACEDO, DAVID LEVI; KOSHLUKOV, PLAMEN. odimension growth for polynomial identities of representations of Lie algebra. Mathematische Nachrichten, v. 295, n. 2, p. 281-308, FEB 2022. (18/23690-6)

MESHKOV, A. G.; SOKOLOV, V. V.. Classification of integrable vector equations of geometric type. JOURNAL OF GEOMETRY AND PHYSICS, v. 149, MAR 2020. (18/23690-6)

CRODE, SIDNEY DALE; SHESTAKOV, IVAN P.. Locally nilpotent derivations and automorphisms of free associative algebra with two generators. COMMUNICATIONS IN ALGEBRA, v. 48, n. 7, MAR 2020. (18/23690-6)

V. BAVULA, V.; BEKKERT, V.; FUTORNY, V.. EXPLICIT DESCRIPTION OF GENERALIZED WEIGHT MODULES OF THE ALGEBRA OF POLYNOMIAL INTEGRO-DIFFERENTIAL OPERATORS IIn. ASIAN JOURNAL OF MATHEMATICS, v. 25, n. 5, p. 30-pg., 2021-10-01. (18/23690-6, 17/02946-0)

KOCHLOUKOVA, DESSISLAVA H.. ON THE BIERI-NEUMANN-STREBEL-RENZ Sigma(1)-INVARIANT OF EVEN ARTIN GROUPS. PACIFIC JOURNAL OF MATHEMATICS, v. 312, n. 1, p. 149-169, MAY 2021. (18/23690-6)

FERNANDEZ, J. C. GUTIERREZ; GRISHKOV, A.; VANEGAS, E. O. QUINTERO. On power-associative modules. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. N/A, p. 19-pg., 2022-06-23. (18/13705-6, 18/23690-6)

FUTORNY, VYACHESLAV. Representations of Lie algebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 16, n. 1, p. 26-pg., 2021-06-08. (18/23690-6)

IOPPOLO, ANTONIO; KOSHLUKOV, PLAMEN; LA MATTINA, DANIELA. Matrix algebras with degenerate traces and trace identities. Journal of Algebra, v. 592, p. 36-63, FEB 15 2022. (18/17464-3, 18/23690-6)

FAGUNDES, PEDRO SOUZA; DE MELLO, THIAGO CASTILHO; DOS SANTOS, PEDRO HENRIQUE DA SILVA. On the Mesyan conjecture. TURKISH JOURNAL OF MATHEMATICS, v. 46, n. 5, p. 16-pg., 2022-01-01. (16/09496-7, 19/16994-1, 18/23690-6)

GARGATE, IVAN GONZALES; DE MELLO, THIAGO CASTILHO. IMAGES OF MULTILINEAR POLYNOMIALS ON n x n UPPER TRIANGULAR MATRICES OVER INFINITE FIELDS. Israel Journal of Mathematics, v. 252, n. 1, p. 18-pg., 2022-09-09. (18/15627-2, 18/23690-6)

CENTRONE, LUCIO; DINIZ, DIOGO; MELLO, THIAGO CASTILHO DE. Graded monomial identities and almost non-degenerate gradings on matrices. Linear Algebra and its Applications, v. 653, p. 20-pg., 2022-08-24. (18/02108-7, 18/15627-2, 18/23690-6)

CENTRONE, LUCIO; DE MELLO, THIAGO CASTILHO. Images of graded polynomials on matrix algebras. Journal of Algebra, v. 614, p. 20-pg., 2023-01-15. (18/23690-6)

YASUMURA, FELIPE YUKIHIDE. Universal enveloping of a graded Lie algebra. Linear Algebra and its Applications, v. 674, p. 22-pg., 2023-06-12. (18/23690-6)

SHESTAKOV, IVAN P.; SOKOLOV, VLADIMIR V.. Multi-component generalizations of mKdV equation and nonassociative algebraic structures. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 20, n. 04, p. 24-pg., 2021-04-01. (16/07265-8, 18/23690-6)

YASUMURA, FELIPE YUKIHIDE. Homogeneous involutions on graded division algebras and their polynomial identities. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. N/A, p. 11-pg., 2023-03-22. (18/23690-6)

CORREA, DANIELA MARTINEZ; KOSHLUKOV, PLAMEN. Specht property of varieties of graded Lie algebras. MONATSHEFTE FUR MATHEMATIK, v. N/A, p. 28-pg., 2023-03-27. (18/23690-6)

MOURA, ADRIANO; SILVA, CLAYTON. On the primality of totally ordered q-factorization graphs. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v. N/A, p. 44-pg., 2023-03-20. (18/23690-6)

GRISHKOV, A.; RASSKAZOVA, M.; DOS ANJOS, G. SOUZA. Free Bol loops of exponent two. Journal of Algebra, v. 628, p. 17-pg., 2023-04-18. (21/12820-9, 18/23690-6)

CARDOSO, MARIA CLARA; FUTORNY, VYACHESLAV. AFFINE LIE ALGEBRA REPRESENTATIONS INDUCED FROM WHITTAKER MODULES. Proceedings of the American Mathematical Society, v. 151, n. 3, p. 13-pg., 2023-03-01. (19/24494-9, 18/23690-6)

BOCK, WOLFGANG; FUTORNY, VYACHESLAV; NEKLYUDOV, MIKHAIL. Convex topological algebras via linear vector fields and Cuntz algebras. Journal of Pure and Applied Algebra, v. 225, n. 3, p. 17-pg., 2021-03-01. (18/23690-6)

BELITSKII, GENRICH R.; FUTORNY, VYACHESLAV; MUZYCHUK, MIKHAIL; SERGEICHUK, VLADIMIR V.. Congruence of matrix spaces, matrix tuples, and multilinear maps. Linear Algebra and its Applications, v. 609, p. 15-pg., 2021-01-15. (18/24089-4, 18/23690-6)

BIANCHI, ANGELO; CHAMBERLIN, SAMUEL. Weyl modules and Weyl functors for hyper-map algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 20, n. 1, p. 20-pg., 2021-01-01. (18/23690-6, 15/22040-0)

SHESTAKOV, IVAN; ZHANG, ZERUI. Solvability and nilpotency of Novikov algebras. COMMUNICATIONS IN ALGEBRA, v. 48, n. 12, p. 9-pg., 2020-07-08. (19/02095-5, 18/23690-6)

IOPPOLO, ANTONIO; KOSHLUKOV, PLAMEN; LA MATTINA, DANIELA. Trace identities and almost polynomial growth. Journal of Pure and Applied Algebra, v. 225, n. 2, p. 20-pg., 2021-02-01. (18/17464-3, 18/23690-6)

SHESTAKOV, IVAN; ZHANG, ZERUI. Solvability and nilpotency of Novikov algebras. COMMUNICATIONS IN ALGEBRA, JUL 2020. (19/02095-5, 18/23690-6)

MURAKAMI, I, L. S.; PERESI, L. A.; SHESTAKOV, I. P.. A retrospect of the research in nonassociative algebras in IME-USP. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, JUL 2021. (18/23690-6)

FIDELIS, CLAUDEMIR; DINIZ, DIOGO; BERNARDO, LEOMAQUES; KOSHLUKOV, PLAMEN. Graded Identities and Central Polynomials for the Verbally Prime Algebras. ALGEBRAS AND REPRESENTATION THEORY, JUL 2021. (19/12498-0, 18/23690-6)

BONDARENKO, VITALIJ M.; FUTORNY, VYACHESLAV; PETRAVCHUK, ANATOLII P.; SERGEICHUK, VLADIMIR V.. Pairs of commuting nilpotent operators with one-dimensional intersection of kernels and matrices commuting with a Weyr matrix. Linear Algebra and its Applications, v. 612, p. 188-205, MAR 1 2021. (18/24089-4, 18/23690-6)

DINIZ, DIOGO; FIDELIS, CLAUDEMIR; KOSHLUKOV, PLAMEN. GRADED IDENTITIES FOR ALGEBRAS WITH ELEMENTARY GRADINGS OVER AN INFINITE FIELD. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, JAN 2022. (18/23690-6, 19/12498-0)

FUTORNY, VYACHESLAV; SCHWARZ, JOAO. Holonomic modules for rings of invariant differential operators. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 31, n. 04, p. 605-622, JUN 2021. (18/18146-5, 18/23690-6)

SANTOS FILHO, G.; MURAKAMI, L.; SHESTAKOV, I. Locally finite coalgebras and the locally nilpotent radical II. COMMUNICATIONS IN ALGEBRA, v. 49, n. 12, JUN 2021. (18/23690-6)

KOCHLOUKOVA, D. H.; MARTINEZ-PEREZ, C.. Bass-Serre theory for Lie algebras: A homological approach. Journal of Algebra, v. 585, p. 143-175, NOV 1 2021. (18/23690-6)

CAALIM, V, JONATHAN; FUTORNY, VYACHESLAV; SERGEICHUK, VLADIMIR V.; TANAKA, YU-ICHI. Isometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form. Linear Algebra and its Applications, v. 587, p. 92-110, FEB 15 2020. (18/24089-4, 18/23690-6)

POZHIDAEV, A. P.; SHESTAKOV, I. P.. Simple Right-Symmetric (1,1)-Superalgebras. Algebra and Logic, v. 60, n. 2, SEP 2021. (18/23690-6, 18/05372-7)

POZHIDAEV, A. P.; SHESTAKOV, I. P.. ON THE RIGHT-SYMMETRIC ALGEBRAS WITH A UNITAL MATRIX SUBALGEBRA. SIBERIAN MATHEMATICAL JOURNAL, v. 62, n. 1, p. 138-147, JAN 2021. (18/23690-6, 18/05372-7)

PCHELINTSEV, V, S.; SHASHKOV, V, O.; SHESTAKOV, I. P.. Right alternative bimodules over Cayley algebra and coordinatization theorem. Journal of Algebra, v. 572, p. 111-128, APR 15 2021. (17/04846-2, 18/23690-6)

FAGUNDES, PEDRO; KOSHLUKOV, PLAMEN. Images of multilinear graded polynomials on upper triangular matrix algebras. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v. N/A, p. 26-pg., 2022-09-19. (18/23690-6, 19/16994-1)

DA SILVA MACEDO, DAVID LEVI; KOSHLUKOV, PLAMEN. CODIMENSION GROWTH FOR WEAK POLYNOMIAL IDENTITIES, AND NON-INTEGRALITY OF THE PI EXPONENT. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 63, n. 4, p. 929-949, NOV 2020. (18/23690-6)

CALIXTO, LUCAS; FUTORNY, VYACHESLAV. Highest weight modules for affine Lie superalgebras. REVISTA MATEMATICA IBEROAMERICANA, v. 37, n. 1, p. 129-160, 2021. (18/23690-6)

KOCHLOUKOVA, DESSISLAVA H.; MARTINEZ-PEREZ, CONCHITA. Coabelian Ideals in N-graded Lie algebras and applications to right angled Artin Lie algebras. Israel Journal of Mathematics, v. 247, n. 2, p. 33-pg., 2021-12-28. (18/23690-6)

SOLIS, VICTOR HUGO LOPEZ; SHESTAKOV, IVAN. On a problem by Nathan Jacobson. REVISTA MATEMATICA IBEROAMERICANA, v. 38, n. 4, p. 20-pg., 2022-01-01. (18/23690-6)

FIDELIS, CLAUDEMIR; KOSHLUKOV, PLAMEN; MACEDO, DAVID. Graded identities for Kac-Moody and Heisenberg algebras with the Cartan grading. Linear Algebra and its Applications, v. 638, p. 23-pg., 2022-04-01. (18/23690-6, 19/12498-0)

FUTORNY, VYACHESLAV; SERGANOVA, VERA; ZHANG, JIAN. Gelfand-Tsetlin modules for gl(m|n). MATHEMATICAL RESEARCH LETTERS, v. 28, n. 5, p. 40-pg., 2021-01-01. (15/05927-0, 18/23690-6)

KOCHLOUKOVA, DESSISLAVA H.; LEON, ADRIANA JUZGA. Finitely presented metabelian restricted Lie algebras. Journal of Algebra, v. 560, p. 1107-1145, OCT 15 2020. (18/23690-6)

BIANCHI, ANGELO; CHAMBERLIN, SAMUEL. An integral basis for the universal enveloping algebra of the Onsager algebra. COMMUNICATIONS IN ALGEBRA, NOV 2021. (18/23690-6)

MOURA, ADRIANO; SILVA, CLAYTON. Three-vertex prime graphs and reality of trees. COMMUNICATIONS IN ALGEBRA, v. 51, n. 9, p. 37-pg., 2023-04-05. (18/23690-6)

BEZERRA, LUAN; CALIXTO, LUCAS; FUTORNY, VYACHESLAV; KASHUBA, IRYNA. Representations of affine Lie superalgebras and their quantization in type A. Journal of Algebra, v. 611, p. 21-pg., 2022-12-01. (20/14281-5, 21/14716-4, 18/23690-6)

KOCHLOUKOVA, DESSISLAVA H.. On the Bieri-Neumann-Strebel-Renz invariants of the weak commutativity construction x(G). Groups Geometry and Dynamics, v. 17, n. 1, p. 29-pg., 2023-01-01. (18/23690-6)

SHESTAKOV, IVAN; ZHANG, ZERUI. Automorphisms of finitely generated relatively free bicommutative algebras. Journal of Pure and Applied Algebra, v. 225, n. 8, AUG 2021. (19/02095-5, 18/23690-6)

GUIMARAES, ALAN DE ARAUJO; KOSHLUKOV, PLAMEN. Automorphisms and superalgebra structures on the Grassmann algebra. Journal of Pure and Applied Algebra, v. 227, n. 1, p. 20-pg., 2023-01-01. (18/23690-6)

FUTORNY, VYACHESLAV; KRIZKA, LIBOR. Twisting functors and Gelfand-Tsetlin modules over semisimple Lie algebras. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v. N/A, p. 37-pg., 2022-08-29. (18/23690-6)

FAGUNDES, PEDRO; KOSHLUKOV, PLAMEN. On sums of gr-PI algebras. Linear Algebra and its Applications, v. 677, p. 21-pg., 2023-08-28. (22/05256-2, 19/16994-1, 18/23690-6)

DINIZ, DIOGO; DA SILVA, JOSE LUCAS GALDINO; KOSHLUKOV, PLAMEN. GRADINGS ON BLOCK-TRIANGULAR MATRIX ALGEBRAS. Proceedings of the American Mathematical Society, v. N/A, p. 9-pg., 2023-09-20. (18/23690-6)

GRISHKOV, A. N.; SHESTAKOV, I. P.; RASSKAZOVA, M. N.. New Examples of Binary Lie Superalgebras and Algebras. Algebra and Logic, v. 60, n. 6, p. 9-pg., 2022-05-23. (18/23690-6, 18/11292-6)

CHEN, YUQUN; SHESTAKOV, IVAN; ZHANG, ZERUI. Free Lie-admissible algebras and an analogue of the PBW theorem. Journal of Algebra, v. 590, p. 234-253, JAN 15 2022. (18/23690-6)

KOCHLOUKOVA, DESSISLAVA H.; MARTINEZ-PEREZ, CONCHITA. Generalizations of Weak Commutativity for Lie Algebras. JOURNAL OF LIE THEORY, v. 31, n. 2, p. 469-492, 2021. (18/23690-6)

FUTORNY, VYACHESLAV; MORALES, OSCAR; KRIZKA, LIBOR. Admissible representations of simple affine vertex algebras. Journal of Algebra, v. 628, p. 49-pg., 2023-04-04. (18/23690-6)

SANTOS FILHO, G.; MURAKAMI, L.; SHESTAKOV, I. Locally finite coalgebras and the locally nilpotent radical I. Linear Algebra and its Applications, v. 621, p. 19-pg., 2021-03-22. (18/23690-6)

SHESTAKOV, I.; ZAICEV, M.. Eventually non-decreasing codimensions of *-identities. ARCHIV DER MATHEMATIK, v. 116, n. 4, p. 9-pg., 2021-01-14. (19/02510-2, 18/23690-6)

MACEDO FERREIRA, BRUNO LEONARDO; GUZZO JR, HENRIQUE; FERREIRA, RUTH NASCIMENTO. An Approach Between the Multiplicative and Additive Structure of a Jordan Ring. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, v. 47, n. 4, p. 15-pg., 2020-07-04. (18/23690-6)

GUIMARAES, ALAN DE ARAUJO; FIDELIS, CLAUDEMIR; KOSHLUKOV, PLAMEN. Z(2) and Z-graded central polynomials of the Grassmann algebra. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 30, n. 5, p. 22-pg., 2020-08-01. (18/23690-6)

GARGATE, IVAN GONZALES; DE MELLO, THIAGO CASTILHO. A new approach to the Lvov-Kaplansky conjecture through gradings. Linear Algebra and its Applications, v. 674, p. 13-pg., 2023-10-01. (18/23690-6)

KOCHLOUKOVA, DESSISLAVA H.; VIDUSSI, STEFANO. Higher dimensional algebraic fiberings of group extensions. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v. 108, n. 3, p. 26-pg., 2023-07-04. (18/23690-6)

SHESTAKOV, I. P.. Modification and Correction of Medvedev's Example of a Solvable Alternative Algebra. Algebra and Logic, v. N/A, p. 17-pg., 2023-09-06. (18/23690-6)

FIDELIS, CLAUDEMIR; KOSHLUKOV, PLAMEN. Z-graded identities of the Lie algebras U-1 in characteristic 2. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v. 174, n. 1, p. 10-pg., 2022-03-08. (19/12498-0, 18/23690-6)