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arXiv · 1512.04458

Face Functors for KLR Algebras

Peter J. McNamara·Peter Tingley
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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 Kac-Moody algebras. Here we put that observation an a firmer categorical footing by exhibiting a 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.

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Peter J. McNamara, Peter Tingley. 2015-12-14. Face Functors for KLR Algebras. https://arxiv.org/abs/1512.04458

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