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- W3180082145 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 subcategory of finite-dimensional modules over a quantum affine algebra which is a generalization of the Hernandez-Leclerc's category $mathcal{C}_Q$. This was previously proved in untwisted $ADE$ types by Fujita using the geometry of quiver varieties, which is not applicable in general. Our proof is purely algebraic, and so can be extended uniformly to general types." @default.
- W3180082145 created "2021-07-19" @default.
- W3180082145 creator A5027422318 @default.
- W3180082145 date "2021-01-10" @default.
- W3180082145 modified "2023-09-27" @default.
- W3180082145 title "Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's categories in general types" @default.
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- W3180082145 doi "https://doi.org/10.48550/arxiv.2101.03573" @default.
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