Integrals of polynomials associated with tableaux and the Garsia-Haiman conjecture

DOI10.1007/PL00004633zbMath1018.05106WikidataQ123232198 ScholiaQ123232198MaRDI QIDQ1266194

Charles F. Dunkl, Philip J. Hanlon

Publication date: 14 September 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

Macdonald polynomialsshift operatoraffine Hecke algebrasDunkl operatorsGarsia-Haiman conjecturesMacdonald conjecturesMehta integral

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Structure theory for Lie algebras and superalgebras (17B05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

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The non-degeneracy of the bilinear form of \(m\)-quasi-invariants. ⋮ Intertwining operators and polynomials associated with the symmetric group

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