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Representations of Smith algebras which are free over the Cartan subalgebra.
- Source :
-
Journal of Algebra . Oct2024, Vol. 655, p405-423. 19p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 655
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 177880759
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.11.030