Combinatorial formula for Macdonald polynomials, Bethe Ansatz, and generic Macdonald polynomials

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dc.creatorOkounkov, Andrei
dc.date2000-08-13
dc.date.accessioned2026-07-07T04:36:46Z
dc.date.available2026-07-07T04:36:46Z
dc.descriptionWe give a direct proof of the combinatorial formula for interpolation Macdonald polynomials by introducing certain polynomials, which we call generic Macdonald polynomials, 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.
dc.descriptionLatex, 18 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0008094
dc.identifierhttp://arxiv.org/abs/math/0008094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59721
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.titleCombinatorial formula for Macdonald polynomials, Bethe Ansatz, and generic Macdonald polynomials
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