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1-Cocycles of the Witt algebra with coefficients in tensor product of modules.
- Source :
-
Journal of Algebra . Nov2024, Vol. 658, p486-532. 47p. - Publication Year :
- 2024
-
Abstract
- In this paper, we classify 1-cocycles of the Witt algebra with coefficients in the tensor product of two arbitrary tensor density modules. In a special case, we recover a theorem originally established by Ng and Taft in [24]. Furthermore, by these 1-cocycles, we determine Lie bialgebra structures over certain infinite-dimensional Lie algebras containing the Witt algebra. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TENSOR algebra
*TENSOR products
*LIE algebras
*ALGEBRA
*DENSITY
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 658
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 178734163
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2024.05.044