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Modules over the affine-Virasoro algebra of Nappi-Witten type.
- Source :
-
Journal of Algebra . Nov2024, Vol. 657, p549-580. 32p. - Publication Year :
- 2024
-
Abstract
- In this paper, we determine a class of modules over the affine-Virasoro algebra of Nappi-Witten type, which are free of rank one when restricted to the subalgebra U (C L 0 ⊕ C d 0). We study when such modules are simple and determine the isomorphism classes. As a by-product, we obtain a class of indecomposable modules for the affine Nappi-Witten algebra. We also consider the tensor product of finitely many rank one free simple modules with an arbitrary simple restricted module. The simplicity and isomorphism classes are investigated. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INDECOMPOSABLE modules
*ALGEBRA
*TENSOR products
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 657
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 178188964
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2024.05.028