Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On generalized Macdonald polynomials   Generalized Macdonald polynomials (GMP) are eigenfunctions of
specifically-deformed Ruijsenaars Hamiltonians and are built as triangular
polylinear combinations of Macdonald polynomials. They are orthogonal with
respect to a modified scalar product, which could be constructed with the help
of an increasingly important triangular perturbation theory, showing up in a
variety of applications. A peculiar feature of GMP is that denominators in this
expansion are fully factorized, which is a consequence of a hidden symmetry
resulting from the special choice of the Hamiltonian deformation. We introduce
also a simplified but deformed version of GMP, which we call generalized Schur
functions. Our basic examples are bilinear in Macdonald polynomials.

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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: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: eess