On the center of quiver-Hecke algebras

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 cohomology of quiver varieties.

72 pages

References in corpus (6)

• 2-Kac-Moody algebras
• Knot invariants and higher representation theory
• Blocks of cyclotomic Hecke algebras
• Trace decategorification of categorified quantum sl(2)
• Trace as an alternative decategorification functor
• A presentation of the deformed W_{1+\infty} algebra

Cited by in corpus (18)

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• Trace decategorification of the Hecke category
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• Diagrams and discrete extensions for finitary 2-representations
• The Elliptic Hall algebra and the deformed Khovanov Heisenberg category
• Cyclicity for categorified quantum groups
• Cyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebras
• Weyl modules for Lie superalgebras
• Centers of KLR algebras and cohomology rings of quiver varieties
• On the structure of cyclotomic nilHecke algebras
• Trace of the twisted Heisenberg Category
• An equivalence between truncations of categorified quantum groups and Heisenberg categories
• Coidempotent subcoalgebras and short exact sequences of finitary 2-representations
• Representation type for block algebras of Hecke algebras of classical type
• Representation type of higher level cyclotomic quiver Hecke algebras in affine type C
• Trace and categorical sl(n) representations
• On the (super)cocenter of Cyclotomic Sergeev algebras
• Coherent sheaves on surfaces, COHAs and deformed $W_{1+\infty }$-algebras