Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras
Visit to the department of mathematics and statistic, USP, 2012
Specht property and graded polynomial identities for some non-associative algebras
| Full text | |
| Author(s): |
Centrone, Lucio
;
Souza, Manuela da Silva
Total Authors: 2
|
| Document type: | Journal article |
| Source: | LINEAR & MULTILINEAR ALGEBRA; v. 65, n. 4, p. 752-767, 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
Let K be a field of characteristic 0 and L be a G-graded Lie PIalgebra where the support of L is a finite subset of G. We define the G-graded Gelfand-Kirillov dimension (GK) of L in k-variables as the GK dimension of its G-graded relatively free algebra having k homogeneous variables for each element of the support of L. We compute the G-graded GK dimension of sl(2)(K), where G is any abelian group. Then, we compute the exact value for the Zn-graded GK dimension of sl(n)(K) endowed with the Zn-grading of Vasilovsky. (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: | 13/04590-7 - Star-group identities and Lie nilpotence |
| Grantee: | Manuela da Silva Souza |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |