Algebraic structures and their representations

• Grant number: 14/09310-5
• Support type: Research Projects - Thematic Grants
• Duration: October 01, 2014 - September 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Co-Principal Investigators: Adriano Adrega de Moura ; Alexandre Grichkov ; Eduardo Do Nascimento Marcos ; Ivan Chestakov ; Plamen Emilov Kochloukov
• Assoc. 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 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; 18/11292-6 - Moufang Loops and related algebras, AV.EXT; 18/08907-9 - Exceptional sequences of coherent sheaves, 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; 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 - Aplications 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; 15/17611-8 - Finite geometries, its automorphisms and related algebraic systems, BP.DR; 15/15901-9 - Derived bracket formalism in algebra and geometry and Gelfand-Tsetlin modules for Lie superalgebras, BP.PD; 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

(88)

(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)

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. Web of Science Citations: 0.

FUTORNY, VYACHESLAV; IUSENKO, KOSTIANTYN. Stable representations of posets. Journal of Pure and Applied Algebra, v. 223, n. 12, p. 5251-5278, DEC 2019. Web of Science Citations: 0.

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. Web of Science Citations: 0.

GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, I, CLAUDIA. On Lotka-Volterra algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 18, n. 10 OCT 2019. Web of Science Citations: 0.

KLEINFELD, E.; SHESTAKOV, I. P. Associators and Commutators in Alternative Algebras. Algebra and Logic, v. 58, n. 4, p. 322-326, SEP 2019. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

QUISPE URURE, RONALD ISMAEL; GONCALVES, DIMAS JOSE. Central polynomials with involution for the algebra of 2 x 2 upper triangular matrices. LINEAR & MULTILINEAR ALGEBRA, AUG 2019. Web of Science Citations: 0.

FUTORNY, VYACHESLAV; KRIZKA, LIBOR; ZHANG, JIAN. Quantum Howe duality and invariant polynomials. Journal of Algebra, v. 530, p. 326-367, JUL 15 2019. Web of Science Citations: 0.

FUTORNY, VYACHESLAV; KRIZKA, LIBOR; SOMBERG, PETR. Geometric realizations of affine Kac-Moody algebras. Journal of Algebra, v. 528, p. 177-216, JUN 1 2019. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 2.

BIANCHI, ANGELO; DINIZ, DIOGO. Identities and isomorphisms of finite-dimensional graded simple algebras. Journal of Algebra, v. 526, p. 333-344, MAY 15 2019. Web of Science Citations: 1.

FONSECA, CLAUDIA CAVALCANTE; IUSENKO, KOSTIANTYN. On dimension of poset variety. Linear Algebra and its Applications, v. 568, p. 155-164, MAY 1 2019. Web of Science Citations: 1.

FUTORNY, VYACHESLAV; GROCHOW, JOSHUA A.; SERGEICHUK, VLADIMIR V. Wildness for tensors. Linear Algebra and its Applications, v. 566, p. 212-244, APR 1 2019. Web of Science Citations: 1.

FOURIER, GHISLAIN; MARTINS, VICTOR; MOURA, ADRIANO. On truncated Weyl modules. COMMUNICATIONS IN ALGEBRA, v. 47, n. 3, p. 1125-1146, MAR 4 2019. Web of Science Citations: 0.

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. Web of Science Citations: 0.

BAVULA, VOLODYMYR; FUTORNY, VYACHESLAV. Rings of invariants of finite groups when the bad primes exist. COMMUNICATIONS IN ALGEBRA, v. 47, n. 10 MAR 2019. Web of Science Citations: 0.

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. Web of Science Citations: 2.

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. Web of Science Citations: 1.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

DINIZ, DIOGO; KOSHLUKOV, PLAMEN. Embeddings for the Jordan algebra of a bilinear form. ADVANCES IN MATHEMATICS, v. 337, p. 294-316, OCT 15 2018. Web of Science Citations: 0.

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. Web of Science Citations: 1.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 1.

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. Web of Science Citations: 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. Web of Science Citations: 1.

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. Web of Science Citations: 2.

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. Web of Science Citations: 1.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 2.

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. Web of Science Citations: 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. Web of Science Citations: 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. Web of Science Citations: 1.

BILLIG, YULY; FUTORNY, VYACHESLAV. Lie algebras of vector fields on smooth ane varieties. COMMUNICATIONS IN ALGEBRA, v. 46, n. 8, p. 3413-3429, 2018. Web of Science Citations: 2.

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. Web of Science Citations: 1.

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. Web of Science Citations: 0.

KAYGORODOV, IVAN; SHESTAKOV, IVAN; UMIRBAEV, UALBAI. Free generic Poisson fields and algebras. COMMUNICATIONS IN ALGEBRA, v. 46, n. 4, p. 1799-1812, 2018. Web of Science Citations: 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. Web of Science Citations: 1.

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. Web of Science Citations: 2.

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. Web of Science Citations: 0.

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. Web of Science Citations: 3.

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. Web of Science Citations: 7.

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. Web of Science Citations: 1.

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. Web of Science Citations: 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. Web of Science Citations: 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. Web of Science Citations: 2.

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. Web of Science Citations: 1.

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. Web of Science Citations: 1.

KUZ'MIN, ALEXEY; SHESTAKOV, IVAN. Basic superranks for varieties of algebras. Journal of Algebra, v. 478, p. 58-91, MAY 15 2017. Web of Science Citations: 0.

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. Web of Science Citations: 2.

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. Web of Science Citations: 3.

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. Web of Science Citations: 1.

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. Web of Science Citations: 1.

KOSHLUKOV, PLAMEN; YUKIHIDE, FELIPE. Elementary gradings on the Lie algebra UTn(-). Journal of Algebra, v. 473, p. 66-79, MAR 1 2017. Web of Science Citations: 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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

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. Web of Science Citations: 0.

FUTORNY, VYACHESLAV; SCHWARZ, JOAO. Galois orders of symmetric differential operators. ALGEBRA & DISCRETE MATHEMATICS, v. 23, n. 1, p. 35-46, 2017. Web of Science Citations: 0.

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. Web of Science Citations: 8.

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. Web of Science Citations: 0.

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. Web of Science Citations: 3.

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. Web of Science Citations: 0.

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. Web of Science Citations: 2.

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. Web of Science Citations: 0.

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. Web of Science Citations: 1.

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. Web of Science Citations: 3.

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. Web of Science Citations: 15.

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. Web of Science Citations: 0.

GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, CLAUDIA I. On Jordan-Nilalgebras of Index 3. COMMUNICATIONS IN ALGEBRA, v. 44, n. 10, p. 4277-4293, 2016. Web of Science Citations: 1.

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. Web of Science Citations: 0.

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. Web of Science Citations: 1.

KOSHLUKOV, PLAMEN; LA MATTINA, DANIELA. Graded algebras with polynomial growth of their codimensions. Journal of Algebra, v. 434, p. 115-137, JUL 15 2015. Web of Science Citations: 9.

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. Web of Science Citations: 1.

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. Web of Science Citations: 2.

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. Web of Science Citations: 1.

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. Web of Science Citations: 16.