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Structures, representations, and applications of algebraic systems

Grant number: 18/23690-6
Support Opportunities:Research Projects - Thematic Grants
Duration: July 01, 2019 - June 30, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Ivan Chestakov
Grantee:Ivan Chestakov
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 ; Dessislava Hristova Kochloukova ; Eduardo do Nascimento Marcos ; Plamen Emilov Kochloukov ; Vyacheslav Futorny
Associated researchers: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
Associated grant(s):23/14060-7 - Integrable evolution PDEs of geometric type and Bol's loops, AV.EXT
23/01159-5 - Bimodules over semisimple algebras in some classes of right alternative algebras, AV.EXT
22/10889-4 - Self-similar Lie algebras, AV.BR
+ associated grants 22/10933-3 - Interactions between operad theory and ring theory, AV.EXT
22/06340-7 - Non-Associative Algebras and Related Topics II, AR.EXT
21/12820-9 - Loops and related algebras, AV.EXT
21/09845-0 - Conformal invariance of the probability density function for passive scalar fields (including arbitrary virus) in 2D turbulence: the proof of Polyakov conjecture, AV.EXT
19/23251-5 - Representations of Lie algebras of vector fields on algebraic varieties, AP.R SPRINT
19/24418-0 - Restricted Burnside problem, reductive Moufang Loops and their tangent algebras, AV.EXT - associated grants
Associated scholarship(s):23/17046-5 - Algebra in Action, BP.IC
23/13047-7 - Structure of rings and applications, BP.IC
23/03922-8 - Super polynomial identities of simple superalgebras, BE.PQ
+ associated scholarships 23/01020-7 - Deformations of finite dimensional algebras, BP.MS
23/01673-0 - Graded tensor product and regular algebras, BP.DR
23/01635-1 - Trace identities and Invariant theory, BP.MS
23/01710-3 - Noncommutative Algebra, BP.IC
22/13058-6 - Images of polynomials on algebras with additional structures, BP.MS
22/12883-3 - Quiver regions, Instantons over Fano Threefolds, BP.PD
22/12510-2 - Analysis, Algebra and Applications, BP.IC
22/02571-4 - On maps preserving some identities on nonassociative algebraic structures, BP.DR
22/05183-5 - Algebraic structures and applications, BP.IC
22/00024-6 - Representations of infinite dimensional Lie algebras and theory of vertex algebras, BP.PD
21/13052-5 - Loops and related groups, BP.PD
22/00376-0 - Hochschild (co)homology and global dimension, BP.IC
21/13022-9 - Representations of Lie algebras and superalgebras, BP.PD
21/14493-5 - Hochschild (co)homology, BP.IC
21/12353-1 - Images of polynomials in algebras, BP.IC
20/16595-7 - Polynomial identities and their numerical invariants, BP.MS
21/10214-4 - Two theorems of Gabriel, BP.IC
20/13811-0 - Representations of Lie Algebras of vector fields on algebraic varieties, BP.DR
21/03733-5 - Polynomial identities of matrix algebra with additional structures, BP.PD
20/14281-5 - Representations of twisted affine Lie Superalgebras and their quantizations, BP.PD
20/14313-4 - Cuspidal Representations of Lie Algebras, BP.DR
20/10831-0 - Group Theory and Bezout's theorem for curves, BP.IC
20/11159-4 - Theory of Groups and Gabriel's theorem, BP.IC
19/12498-0 - Graded polynomial identities and identity with trace, and invariant theory, BP.PD
19/23380-0 - Weyl modules and Frobenius-Schur duality, BP.MS
19/24494-9 - Representations of W-algebras, BP.DR
19/22813-0 - Algebras with polynomial identities, BP.IC
19/16994-1 - Algebras that are sums of two PI subalgebras, BP.DR
19/17085-5 - Groups, representations, and applications, BP.IC
19/17092-1 - Groups, fields, Galois theory, and applications, BP.IC - associated scholarships

Abstract

Most of the project will be dedicated to Lie and Jordan algebras and superalgebras and their representations. In addition, Malcev and alternative algebras and superalgebras will be considered, Moufang loops and various generalizations and applications of above. Algebraic systems related to integrable systems of differential equations will be considered. Homological methods will be applied in the theory of representations and finely presentable algebraic structures. The lines of the research project focus on the following themes: representations of Lie algebras and superalgebras; structural questions for representations of related Kac-Moody algebras and their generalizations; non-associative algebras, their applications and generalizations; representations of Lie and Jordan superalgebras, application of Tits-Kantor-Koecher construction free Jordan algebra; combinatorial theory of algebras; theory of loops, their relations and applications; integrable systems and non-associative structures; representations of algebras: homological and geometric methods; finitely presentable and homological type FP-m structures. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (87)
(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)
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, . (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, . (18/23690-6)
MESHKOV, A. G.; SOKOLOV, V. V.. Classification of integrable vector equations of geometric type. JOURNAL OF GEOMETRY AND PHYSICS, v. 149, . (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., . (18/23690-6, 19/12498-0)
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, . (18/02108-7, 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., . (18/11292-6, 18/23690-6)
FUTORNY, VYACHESLAV; SCHWARZ, JOAO. Algebras of invariant differential operators. Journal of Algebra, v. 542, p. 215-229, . (18/18146-5, 16/14648-0, 14/25612-1, 18/23690-6)
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, . (18/23690-6)
SHESTAKOV, I.; ZAICEV, M.. Eventually non-decreasing codimensions of {*}-identities. ARCHIV DER MATHEMATIK, v. 116, n. 4, . (19/02510-2, 18/23690-6)
KOCHLOUKOVA, DESSISLAVA H.; MENDONCA, LUIS. Weak commutativity for pro-pgroups. MONATSHEFTE FUR MATHEMATIK, v. 194, n. 3, p. 555-575, . (15/22064-6, 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, . (15/22040-0, 18/23690-6)
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, . (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, . (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, . (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., . (18/23690-6)
DE MELLO, THIAGO CASTILHO. Homogeneous involutions on upper triangular matrices. ARCHIV DER MATHEMATIK, v. 118, n. 4, p. 10-pg., . (18/23690-6, 18/15627-2)
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, . (18/23690-6)
FUTORNY, VYACHESLAV. Representations of Lie algebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, . (18/23690-6)
SHESTAKOV, IVAN; ZAICEV, MIKHAIL. Codimension growth of simple Jordan superalgebras. Israel Journal of Mathematics, v. 245, n. 2, . (19/02510-2, 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, . (18/17464-3, 18/23690-6)
FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. Classification of simple Gelfand-Tsetlin modules of sl(3). BULLETIN OF MATHEMATICAL SCIENCES, v. 11, n. 03, . (18/17955-7, 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., . (18/13705-6, 18/23690-6)
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., . (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., . (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., . (18/23690-6, 15/22040-0)
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., . (16/07265-8, 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, v. 49, n. 9, p. 3708-3719, . (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., . (18/23690-6)
FUTORNY, VYACHESLAV. Representations of Lie algebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 16, n. 1, p. 26-pg., . (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., . (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., . (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., . (19/24494-9, 18/23690-6)
FUTORNY, VYACHESLAV; SCHWARZ, JOAO; SHESTAKOV, IVAN. LD-stability for Goldie rings. Journal of Pure and Applied Algebra, v. 225, n. 11, . (18/23690-6, 18/18146-5)
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, . (18/23690-6, 14/09310-5)
YASUMURA, FELIPE YUKIHIDE. Universal enveloping of a graded Lie algebra. Linear Algebra and its Applications, v. 674, p. 22-pg., . (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, . (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., . (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., . (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., . (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., . (18/23690-6, 17/02946-0)
SHESTAKOV, IVAN; ZHANG, ZERUI. Solvability and nilpotency of Novikov algebras. COMMUNICATIONS IN ALGEBRA, v. 48, n. 12, p. 9-pg., . (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., . (18/17464-3, 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., . (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., . (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., . (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., . (16/09496-7, 19/16994-1, 18/23690-6)
CALIXTO, LUCAS; FUTORNY, VYACHESLAV. Highest weight modules for affine Lie superalgebras. REVISTA MATEMATICA IBEROAMERICANA, v. 37, n. 1, p. 129-160, . (18/23690-6)
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, . (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, . (17/04846-2, 18/23690-6)
KOCHLOUKOVA, DESSISLAVA H.; LEON, ADRIANA JUZGA. Finitely presented metabelian restricted Lie algebras. Journal of Algebra, v. 560, p. 1107-1145, . (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., . (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., . (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., . (18/23690-6, 19/12498-0)
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, . (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., . (18/23690-6, 18/11292-6)
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, . (18/24089-4, 18/23690-6)
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, . (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, . (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, . (19/12498-0, 18/23690-6)
FUTORNY, VYACHESLAV; SERGANOVA, VERA; ZHANG, JIAN. Gelfand-Tsetlin modules for gl(m|n). MATHEMATICAL RESEARCH LETTERS, v. 28, n. 5, p. 40-pg., . (15/05927-0, 18/23690-6)
POZHIDAEV, A. P.; SHESTAKOV, I. P.. Simple Right-Symmetric (1,1)-Superalgebras. Algebra and Logic, v. 60, n. 2, . (18/23690-6, 18/05372-7)
SHESTAKOV, IVAN; ZHANG, ZERUI. Solvability and nilpotency of Novikov algebras. COMMUNICATIONS IN ALGEBRA, . (19/02095-5, 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, . (19/02095-5, 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, . (18/24089-4, 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, . (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, . (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, . (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, . (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, . (18/23690-6)
FAGUNDES, PEDRO; KOSHLUKOV, PLAMEN. On sums of gr-PI algebras. Linear Algebra and its Applications, v. 677, p. 21-pg., . (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., . (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., . (19/12498-0, 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., . (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., . (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., . (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., . (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., . (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., . (20/14281-5, 21/14716-4, 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., . (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., . (18/23690-6)
FUTORNY, VYACHESLAV; MORALES, OSCAR; KRIZKA, LIBOR. Admissible representations of simple affine vertex algebras. Journal of Algebra, v. 628, p. 49-pg., . (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., . (18/23690-6)
SHESTAKOV, I.; ZAICEV, M.. Eventually non-decreasing codimensions of *-identities. ARCHIV DER MATHEMATIK, v. 116, n. 4, p. 9-pg., . (19/02510-2, 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., . (18/23690-6)
BIANCHI, ANGELO; CHAMBERLIN, SAMUEL. An integral basis for the universal enveloping algebra of the Onsager algebra. COMMUNICATIONS IN ALGEBRA, . (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., . (18/23690-6, 19/16994-1)
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., . (18/23690-6)

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