Shen-Larsson’s modules for simple generalized Witt algebras
- Resource Type
- Original Paper
- Authors
- Liu, Xuewen; Wang, Mengjiao; Guo, Xiangqian
- Source
- Algebras and Representation Theory. 26(5):1799-1821
- Subject
- Generalized Witt algebras
Weyl algebras
Weight modules
Irreducible modules
17B10
17B20
17B65
17B66
17B68
- Language
- English
- ISSN
- 1386-923X
1572-9079
In this paper, we extend the Shen-Larsson’s construction for Witt algebras to simple generalized Witt algebras and construct a class of modules for these algebras. We determine the irreducibility and isomorphism of these modules under certain countability conditions. Thus we obtain a large family of irreducible weight modules other than highest weight modules and many irreducible non-weight modules over the simple generalized Witt algebras.