| Full text | |
| Author(s): |
Bianchi, Angelo
;
Chamberlin, Samuel
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 20, n. 1, p. 20-pg., 2021-01-01. |
| Abstract | |
We investigate the representations of the hyperalgebras associated to the map algebras ? circle times?, where ? is any finite-dimensional complex simple Lie algebra and ? is any associative commutative unitary algebra with a multiplicatively closed basis. We consider the natural definition of the local and global Weyl modules, and the Weyl functor for these algebras. Under certain conditions, we prove that these modules satisfy certain universal properties, and we also give conditions for the local or global Weyl modules to be finite-dimensional or finitely generated, respectively. (AU) | |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 15/22040-0 - Structural aspects and representations of Kac-Moody algebras, their generalizations and hyperalgebras |
| Grantee: | Angelo Calil Bianchi |
| Support Opportunities: | Regular Research Grants |