Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitary representations of rational Cherednik algebras   We study unitarity of lowest weight irreducible representations of rational
Cherednik algebras. We prove several general results, and use them to determine
which lowest weight representations are unitary in a number of cases. In
particular, in type A, we give a complete description of the unitarity locus
(justified in Section 5 and appendix by Stephen Griffeth), and resolve a
question by Cherednik on the unitarity of the irreducible subrepresentation of
the polynomial representation. Also, as a by-product, we establish Kasatani's
conjecture in full generality (the previous proof by Enomoto assumes that the
parameter c is not a half-integer).

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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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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: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph