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- W4246405870 abstract "We construct an equivalence of graded Abelian categories from a category of representations of the quiver-Hecke algebra of type A 1 ( 1 ) {A_{1}^{(1)}} to the category of equivariant perverse coherent sheaves on the nilpotent cone of type A . We prove that this equivalence is weakly monoidal. This gives a representation-theoretic categorification of the preprojective K-theoretic Hall algebra considered by Schiffmann and Vasserot. Using this categorification, we compare the monoidal categorification of the quantum open unipotent cells of type A 1 ( 1 ) {A_{1}^{(1)}} given by Kang, Kashiwara, Kim, Oh and Park in terms of quiver-Hecke algebras with the one given by Cautis and Williams in terms of equivariant perverse coherent sheaves on the affine Grassmannians." @default.
- W4246405870 created "2022-05-12" @default.
- W4246405870 date "1908-01-01" @default.
- W4246405870 modified "2023-10-16" @default.
- W4246405870 doi "https://doi.org/10.1515/crll.1908.issue-134" @default.
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