Notes on parameters of quiver Hecke algebras

Details Notes on parameters of quiver Hecke algebras Notes on parameters of quiver Hecke algebras

2012-04-09

arxiv.org/abs/1204.1776v1

Mathematics

Representation Theory

12 pages

Scientific paper

Varagnolo-Vasserot and Rouquier proved that, in a symmetric generalized Cartan matrix case, the simple modules over the quiver Hecke algebra with a special parameter correspond to the upper global basis. In this note we show that the simple modules over the quiver Hecke algebras with a generic parameter also correspond to the upper global basis in a symmetric generalized Cartan matrix case.

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