Face Functors for KLR Algebras

  title={Face Functors for KLR Algebras},
  author={P. J. McNamara and Peter Tingley},
  journal={arXiv: Representation Theory},
  • P. J. McNamara, Peter Tingley
  • Published 2015
  • Mathematics
  • arXiv: Representation Theory
  • 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… CONTINUE READING
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