Back to Search
Start Over
Grothendieck rings of towers of generalized Weyl algebras in the finite orbit case.
- Source :
-
Journal of Algebra . Mar2024, Vol. 641, p353-390. 38p. - Publication Year :
- 2024
-
Abstract
- Previously we showed that the tensor product of a weight module over a generalized Weyl algebra (GWA) with a weight module over another GWA is a weight module over a third GWA. In this paper we compute tensor products of simple and indecomposable weight modules over generalized Weyl algebras supported on a finite orbit. This allows us to give a complete presentation by generators and relations of the Grothendieck ring of the categories of weight modules over a tower of generalized Weyl algebras in this setting. We also obtain partial results about the split Grothendieck ring. We described the case of infinite orbits in previous work. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ORBITS (Astronomy)
*ALGEBRA
*TENSOR products
*INDECOMPOSABLE modules
*ORBIT method
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 641
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 174508312
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.11.020