Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Cherednik-Macdonald-Mehta identities   In this note we give a short proof of Cherednik's generalization of
Macdonald-Mehta identities for the root system $A_{n-1}$ using the
representation theory of quantum groups. These identities, suggested and proved
by Cherednik, give an explicit formula for the integral of a product of
Macdonald polynomials with respect to a ``difference analogue of the Gaussian
measure''.

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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an