Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orthogonal polynomials associated with root systems   Let R and S be two irreducible root systems spanning the same vector space
and having the same Weyl group W, such that S (but not necessarily R) is
reduced. For each such pair (R,S) we construct a family of W-invariant
orthogonal polynomials in several variables, whose coefficients are rational
functions of parameters $q,t_1,t_2,...,t_r$, where r (=1,2 or 3) is the number
of W-orbits in R. For particular values of these parameters, these polynomials
give the values of zonal spherical functions on real and p-adic symmetric
spaces. Also when R=S is of type $A_n$, they conincide with the symmetric
polynomials described in I. G. Macdonald, Symmetric Functions and Hall
Polynomials, 2nd edition, Oxford University Press (1995), Chapter VI.

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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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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: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess