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Notes on parameters of quiver Hecke algebras
Masaki Kashiwara
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 88, Number 7
(2012), 97-102.
Abstract
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 \textit{generic} parameter also correspond to the upper global basis in a symmetric generalized Cartan matrix case.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1341579087
Digital Object Identifier: doi:10.3792/pjaa.88.97
Mathematical Reviews number (MathSciNet): MR2946856
Zentralblatt MATH identifier: 06126090
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