Vesselin Stoyanov Drensky | Institute of Mathematics Bulgarian Academy of Sciences...
Graded polynomial identities and identity with trace, and invariant theory
| Full text | |
| Author(s): |
Ioppolo, Antonio
;
Koshlukov, Plamen
;
La Mattina, Daniela
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 225, n. 2, p. 20-pg., 2021-02-01. |
| Abstract | |
In this paper we study algebras with trace and their trace polynomial identities over a field of characteristic 0. We consider two commutative matrix algebras: D-2, the algebra of 2 x 2 diagonal matrices and C-2, the algebra of 2 x 2 matrices generated by e(11) + e(22) and e(12). We describe all possible traces on these algebras and we study the corresponding trace codimensions. Moreover we characterize the varieties with trace of polynomial growth generated by a finite dimensional algebra. As a consequence, we see that the growth of a variety with trace is either polynomial or exponential. (C) 2020 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 18/17464-3 - Polynomial identities and superinvolutions |
| Grantee: | Antonio Ioppolo |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |