Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characteristic-free bases and BGG resolutions of unitary simple modules
  for quiver Hecke and Cherednik algebras   We construct characteristic-free bases and BGG resolutions of unitary simple
modules of quiver Hecke algebras and Cherednik algebras. We hence solve and
vastly generalise Berkesch-Griffeth-Sam's conjecture, calculate the
Castelnuovo-Mumford regularity of ideals of of certain highly symmetric linear
subspace arrangements, and compute Dirac homology of Cherednik algebras.

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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th