Graded identities on finite dimensional graded simple Lie álgebras
Representation Theory of Lie algebras of vector fields on smooth algebraic manifolds
| Full text | |
| Author(s): |
Fidelis, Claudemir
;
Koshlukov, Plamen
Total Authors: 2
|
| Document type: | Journal article |
| Source: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY; v. 174, n. 1, p. 10-pg., 2022-03-08. |
| Abstract | |
Let K be any field of characteristic two and let U-1 and W-1 be the Lie algebras of the derivations of the algebra of Laurent polynomials K[t, t(-1)] and of the polynomial ring K[t], respectively. The algebras U-1 and W-1 are equipped with natural Z-gradings. In this paper, we provide bases for the graded identities of U-1 and W-1, and we prove that they do not admit any finite basis. (AU) | |
| FAPESP's process: | 19/12498-0 - Graded polynomial identities and identity with trace, and invariant theory |
| Grantee: | Claudemir Fideles Bezerra Júnior |
| 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 |