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Weight modules over Bell--Rogalski algebras
- Source :
- Journal of Algebra, 2023, 633, 270-297
- Publication Year :
- 2022
-
Abstract
- We study a class of $\mathbb{Z}$-graded algebras introduced by Bell and Rogalski. Their construction generalizes in large part that of rank one generalized Weyl algebras (GWAs). We establish certain ring-theoretic properties of these algebras and study their connection to GWAs. We classify the simple weight modules in the infinite orbit case and provide a partial classification in the case of orbits of finite order.<br />Comment: Theorem 2.20 removed. To appear in Journal of Algebra
- Subjects :
- Mathematics - Rings and Algebras
16W50, 16D30, 16D90, 16S38
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Algebra, 2023, 633, 270-297
- Publication Type :
- Report
- Accession number :
- edsarx.2204.04307
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.06.017