Path combinatorics and light leaves for quiver Hecke algebras
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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
On the center of quiver Hecke algebras
Sign Up to like & getrecommendations! 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