\(c\)-functions and Macdonald polynomials

DOI10.1016/J.JALGEBRA.2024.01.024zbMATH Open1543.33013MaRDI QIDQ6565649

Laura Colmenarejo, Arun Ram

Publication date: 2 July 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Hecke algebrassymmetric functionsMacdonald polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hecke algebras and their representations (20C08) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Cites Work

• A combinatorial formula for Macdonald polynomials
• Orthogonal polynomials associated with root systems
• Nonsymmetric Macdonald polynomials and Demazure characters.
• Comparing formulas for type \(GL_n\) Macdonald polynomials
• Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series
• Integration on $p$-adic groups and crystal bases
• Some Conjectures for Root Systems
• Positive Level, Negative Level and Level Zero
• Geometric representations of graded and rational Cherednik algebras
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Related Items (1)

Monk rules for type \(\mathrm{GL}_n\) Macdonald polynomials

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