Back to Search
Start Over
Tensor 2-product for [formula omitted]: Extensions to the negative half.
- Source :
-
Journal of Algebra . Aug2024, Vol. 651, p119-186. 68p. - Publication Year :
- 2024
-
Abstract
- In a recent paper, the author defined an operation of tensor product for a large class of 2-representations of U + , the positive half of the 2-category associated to sl 2. In this paper, we prove that the operation extends to give an operation of tensor product for 2-representations of the full 2-category U : when the inputs are 2-representations of the full U , the 2-product is also a 2-representation of the full U. As in the previous paper, the 2-product is given for a simple 2-representation L (1) and an abelian 2-representation V taken from the 2-category of algebras. This is the first construction of an operation of tensor product for higher representations of a full Lie algebra in the abelian setting. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIE algebras
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 651
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 176993889
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2024.01.041