A Family of $q$-Dyson Style Constant Term Identities

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By generalizing Gessel-Xin's Laurent series method for proving the Zeilberger-Bressoud $q$-Dyson Theorem, we establish a family of $q$-Dyson style constant term identities. These identities give explicit formulas for certain coefficients of the $q$-Dyson product, including three conjectures of Sills' as special cases and generalizing Stembridge's first layer formulas for characters of $SL(n,\mathbb{C})$.
21 pages

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Commutative Algebra, Combinatorics, Primary 05A30, secondary 33D70

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http://salesiana.dossiersoluciones.com/handle/123456789/129982

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.1009
 http://arxiv.org/abs/0706.1009

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arXiv