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   Articles with "quiver hecke" as a keyword



Path combinatorics and light leaves for quiver Hecke algebras

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recommendations! Published in 2021 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-021-02829-0

Abstract: We recast the classical notion of “standard tableaux" in an alcove-geometric setting and extend these classical ideas to all “reduced paths" in our geometry. This broader path-perspective is essential for implementing the higher categorical ideas… read more here.

Keywords: hecke algebras; path combinatorics; light leaves; combinatorics light ... See more keywords

Equivalence between module categories over quiver Hecke algebras and Hernandez–Leclerc's categories in general types

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recommendations! Published in 2021 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2021.107916

Abstract: Abstract We prove in full generality that the generalized quantum affine Schur–Weyl duality functor, introduced by Kang–Kashiwara–Kim, gives an equivalence between the category of finite-dimensional modules over a quiver Hecke algebra and a certain full… read more here.

Keywords: quiver hecke; equivalence module; module categories; general types ... See more keywords

Laurent family of simple modules over quiver Hecke algebras

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recommendations! Published in 2024 at "Compositio Mathematica"

DOI: 10.1112/s0010437x24007310

Abstract: We introduce the notions of quasi-Laurent and Laurent families of simple modules over quiver Hecke algebras of arbitrary symmetrizable types. We prove that such a family plays a similar role of a cluster in quantum… read more here.

Keywords: quiver hecke; family; simple modules; algebra ... See more keywords
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On the center of quiver Hecke algebras

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recommendations! Published in 2017 at "Duke Mathematical Journal"

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.… read more here.

Keywords: hecke algebras; quiver hecke; center; center quiver ... See more keywords