On the center of quiver Hecke algebras

P. Shan; M. Varagnolo; E. Vasserot

doi:10.1215/00127094-3792705

Abstract

We compute the equivariant cohomology ring of the moduli space of framed instantons over the affine plane. It is a Rees algebra associated with the center of cyclotomic degenerate affine Hecke algebras of type $A$ . We also give some related results on the center of quiver Hecke algebras and the cohomology of quiver varieties.

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P. Shan. M. Varagnolo. E. Vasserot. "On the center of quiver Hecke algebras." Duke Math. J. 166 (6) 1005 - 1101, 15 April 2017. https://doi.org/10.1215/00127094-3792705

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Received: 1 November 2014; Revised: 13 July 2016; Published: 15 April 2017

First available in Project Euclid: 10 February 2017

zbMATH: 1380.20005

MathSciNet: MR3635899

Digital Object Identifier: 10.1215/00127094-3792705

Subjects:

Primary: 06B15

Secondary: 20C08

Keywords: categorification , quiver Hecke algebras , quiver varieties

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