Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras
Representations of non-associative algebras and superalgebras
Specht property and graded polynomial identities for some non-associative algebras
| Full text | |
| Author(s): |
Centrone, Lucio
;
Martino, Fabrizio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 45, n. 4, p. 1687-1695, 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
Let UJ(n)(F) be the Jordan algebra of n x n upper triangular matrices over a field F of characteristic zero. This paper is devoted to the study of polynomial identities satisfied by UJ(2)(F) and UJ(3)(F). In particular, the goal is twofold. On one hand, we complete the description of G-graded polynomial identities of UJ(2)(F), where G is a finite abelian group. On the other hand, we compute the Gelfand-Kirillov dimension of the relatively free algebra of UJ(2)(F) and we give a bound for the Gelfand-Kirillov dimension of the relatively free algebra of UJ(3)(F) (AU) | |
| FAPESP's process: | 13/06752-4 - Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras |
| Grantee: | Lucio Centrone |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 15/08961-5 - Growth of algebras with polynomial identities |
| Grantee: | Lucio Centrone |
| Support Opportunities: | Regular Research Grants |