A positive-definite inner product for vector-valued Macdonald polynomials

zbMath1414.05301arXiv1808.05251MaRDI QIDQ2424126

Charles F. Dunkl

Publication date: 24 June 2019

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05251

zbMATH Keywords

Hecke algebranonsymmetric Macdonald polynomials

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (2)

Nonsymmetric Macdonald superpolynomials ⋮ Some singular vector-valued Jack and Macdonald polynomials

Cites Work

• Unnamed Item
• Vector valued Macdonald polynomials
• Yang-Baxter graphs, Jack and Macdonald polynomials
• Orthogonal functions generalizing Jack polynomials
• Representations of Hecke Algebras of General Linear Groups

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