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FACE FUNCTORS FOR KLR ALGEBRAS.
- Source :
- Representation Theory; 7/12/2017, Vol. 21 Issue 7, p106-131, 26p
- Publication Year :
- 2017
-
Abstract
- Simple representations of KLR algebras can be used to realize the infinity crystal for the corresponding symmetrizable Kac-Moody algebra. It was recently shown that, in finite and affine types, certain sub-categories of "cuspidal" representations realize crystals for sub-KacMoody algebras. Here we put that observation on a firmer categorical footing by exhibiting a corresponding functor between the category of representations of the KLR algebra for the sub-Kac-Moody algebra and the category of cuspidal representations of the original KLR algebra. [ABSTRACT FROM AUTHOR]
- Subjects :
- ALGEBRA
MATHEMATICAL analysis
KAC-Moody algebras
CRYSTALS
CRYSTALLINITY
Subjects
Details
- Language :
- English
- ISSN :
- 10884165
- Volume :
- 21
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Representation Theory
- Publication Type :
- Academic Journal
- Accession number :
- 124093904
- Full Text :
- https://doi.org/10.1090/ert/496