| Full text | |
| Author(s): |
Futorny, Vyacheslav
;
Lopes, Samuel A.
;
Mendonca, Eduardo M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 655, p. 19-pg., 2024-06-10. |
| Abstract | |
In this paper, we study the category of modules over the Smith algebra which are free of finite rank over the unital polynomial subalgebra generated by the Cartan element h and obtain families of such simple modules of arbitrary rank. In the case of rank one we obtain a full description of the isomorphism classes, a simplicity criterion, and an algorithm to produce all composition series. We show that all such modules have finite length and describe the composition factors and their multiplicity. (c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 20/14313-4 - Cuspidal Representations of Lie Algebras |
| Grantee: | Eduardo Monteiro Mendonça |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 22/05915-6 - Cuspidal representations of Lie algebras and modules finitely generated over Cartan subalgebra |
| Grantee: | Eduardo Monteiro Mendonça |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |