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Notes on parameters of quiver Hecke algebras. (English) Zbl 1257.20005

Summary: 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.

MSC:

20C08 Hecke algebras and their representations
17B37 Quantum groups (quantized enveloping algebras) and related deformations
05E10 Combinatorial aspects of representation theory
16G20 Representations of quivers and partially ordered sets
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References:

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