The correlation functions of vertex operators and Macdonald polynomials

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dc.creatorCheng, Shun-Jen
dc.creatorWang, Weiqiang
dc.date2005-12-02
dc.date.accessioned2026-07-07T07:44:02Z
dc.date.available2026-07-07T07:44:02Z
dc.descriptionThe n-point correlation functions introduced by Bloch and Okounkov have already found several geometric connections and algebraic generalizations. In this Note we formulate a q,t-deformation of this n-point function. The key operator used in our formulation arises from the theory of Macdonald polynomials and affords a vertex operator interpretation. We obtain closed formulas for the n-point functions when n =1,2 in terms of the basic hypergeometric functions. We further generalize the q,t-deformed n-point function to more general vertex operators.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0512064
dc.identifierhttp://arxiv.org/abs/math/0512064
dc.identifierJ. Algebr. comb. 25 (2007), 43--56.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123051
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.titleThe correlation functions of vertex operators and Macdonald polynomials
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