Zeros of Symmetric Laurent Polynomials of Type $(BC)_n$ and Koornwinder-Macdonald Polynomials Specialized at $t^{k+1}q^{r-1}=1$

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dc.creatorKasatani, Masahiro
dc.date2003-12-17
dc.date2004-05-11
dc.date.accessioned2026-07-07T05:03:59Z
dc.date.available2026-07-07T05:03:59Z
dc.descriptionA characterization of the space of symmetric Laurent polynomials of type $(BC)_n$ which vanish on a certain set of submanifolds is given by using the Koornwinder-Macdonald polynomials. A similar characterization was given previously for symmetric polynomials of type $A_n$ by using the Macdonald polynomials. We use a new method which exploits the duality relation. The method simplifies a part of the proof in the $A_n$ case.
dc.description15 pages, self-duality condition is not necessary, so it is removed
dc.identifierhttps://arxiv.org/abs/math/0312327
dc.identifierhttp://arxiv.org/abs/math/0312327
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69629
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.titleZeros of Symmetric Laurent Polynomials of Type $(BC)_n$ and Koornwinder-Macdonald Polynomials Specialized at $t^{k+1}q^{r-1}=1$
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