Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Imaginary Schur-Weyl duality   We study imaginary representations of the Khovanov-Lauda-Rouquier algebras of
affine Lie type. Irreducible modules for such algebras arise as simple heads of
standard modules. In order to define standard modules one needs to have a
cuspidal system for a fixed convex preorder. A cuspidal system consists of
irreducible cuspidal modules---one for each real positive root for the
corresponding affine root system ${\tt X}_l^{(1)}$, as well as irreducible
imaginary modules---one for each $l$-multipartition. We study imaginary modules
by means of `imaginary Schur-Weyl duality'. We introduce an imaginary analogue
of tensor space and the imaginary Schur algebra. We construct a projective
generator for the imaginary Schur algebra, which yields a Morita equivalence
between the imaginary and the classical Schur algebra. We construct imaginary
analogues of Gelfand-Graev representations, Ringel duality and the Jacobi-Trudy
formula.

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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex