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arXiv:2107.08244 [math.RT]AbstractReferencesReviewsResources

On the product of simple modules over KLR algebras

Yingjin Bi

Published 2021-07-17Version 1

In this paper, we study the product of two simple modules over KLR algebras via perverse sheaves on representation spaces. Explicitly, We calculate the coefficients of simple modules appearing in this product by Restriction functor on perverse sheaves. We give a description about when the product of two simple modules is also a simple module.

Comments: 15 pages; any comments welcome
Categories: math.RT, math.AG, math.RA
Subjects: 17B37, 13F60, 18D20, 81R10
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