Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence between module categories over quiver Hecke algebras and
  Hernandez-Leclerc's categories in general types   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.

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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga