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July 2012 Notes on parameters of quiver Hecke algebras
Masaki Kashiwara
Proc. Japan Acad. Ser. A Math. Sci. 88(7): 97-102 (July 2012). DOI: 10.3792/pjaa.88.97

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 generic parameter also correspond to the upper global basis in a symmetric generalized Cartan matrix case.

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Masaki Kashiwara. "Notes on parameters of quiver Hecke algebras." Proc. Japan Acad. Ser. A Math. Sci. 88 (7) 97 - 102, July 2012. https://doi.org/10.3792/pjaa.88.97

Information

Published: July 2012
First available in Project Euclid: 6 July 2012

zbMATH: 1257.20005
MathSciNet: MR2946856
Digital Object Identifier: 10.3792/pjaa.88.97

Subjects:
Primary: 05E10 , 16G99 , 81R10

Keywords: categorification , Global basis , Khovanov-Lauda-Rouquier algebras

Rights: Copyright © 2012 The Japan Academy

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Vol.88 • No. 7 • July 2012
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