Combinatorial formula for Macdonald polynomials and
generic Macdonald polynomials |
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Authors: | Email author" target="_blank">Andrei?OkounkovEmail author |
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Institution: | (1) Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544, USA |
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Abstract: | We give a direct proof of the combinatorial formula for interpolation Macdonald polynomials by introducing certain polynomials,
which we call generic Macdonald polynomials, and which depend on d additional parameters and specialize to all Macdonald polynomials
of degree d. The form of these generic polynomials is that of a Bethe eigenfunction and they imitate, on a more elementary
level, the R-matrix construction of quantum immanants. |
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Keywords: | |
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