Identities in (non) associative algebras and related themes.

• Grant number: 18/02108-7
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2018
• End date: June 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Lucio Centrone
• Grantee: Lucio Centrone
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated researchers: Manuela da Silva Souza ; Viviane Ribeiro Tomaz da Silva

Abstract

We are going to work with algebras with polynomial identities both associative and non-associative. We shall also investigate on Hopf algebras action on Polynomial identities algebras and the consequences of such action on the identities. It is worth mentioning the generalized Hopf algebra action contains involutions and gradings by a group. Moreover we would like to investigate on Novickis conjecture in a Free metabelian Lie algebras setting. (AU)

Scientific publications

(7)

(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)

CENTRONE, LUCIO; MARTINO, FABRIZIO; SOUZA, MANUELA DA SILVA. Specht property for some varieties of Jordan algebras of almost polynomial growth. Journal of Algebra, v. 521, p. 137-165, MAR 1 2019. (18/02108-7, 15/08961-5)

CENTRONE, LUCIO; FINDIK, SEHMUS. The Nowicki conjecture for relatively free algebras. Journal of Algebra, v. 552, p. 68-85, JUN 15 2020. (18/02108-7)

CENTRONE, LUCIO. The GK dimension of relatively free algebras of PI-algebras. Journal of Pure and Applied Algebra, v. 223, n. 7, p. 2977-2996, JUL 2019. (15/08961-5, 18/02108-7)

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)

CENTRONE, LUCIO; YASUMURA, FELIPE. Actions of Taft's algebras on finite dimensional algebras. Journal of Algebra, v. 560, p. 725-744, OCT 15 2020. (18/02108-7)

CENTRONE, LUCIO; DA SILVA, VIVIANE RIBEIRO TOMAZ. Graded Identities of Several Tensor Products of the Grassmann Algebra. ALGEBRAS AND REPRESENTATION THEORY, v. 24, n. 6, p. 1441-1458, DEC 2021. (18/02108-7, 15/08961-5)

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)