Further Pieri-type formulas for the nonsymmetric Macdonald polynomial

DOI10.1007/s10801-011-0323-3zbMath1245.05130arXiv1008.0892OpenAlexW2095421100MaRDI QIDQ438740

Wendy Baratta

Publication date: 31 July 2012

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0892

zbMATH Keywords

Macdonald polynomial\(q\)-binomial coefficientsnonsymmetricPieri formulas

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) 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)

Related Items (1)

The norm and the evaluation of the Macdonald polynomials in superspace

Cites Work

• Symmetric and nonsymmetric Macdonald polynomials
• Symmetric and non-symmetric quantum Capelli polynomials
• Binomial formula for Macdonald polynomials and applications
• Pieri-type formulas for the non-symmetric Jack polynomials
• Interpretations of some parameter dependent generalizations of classical matrix ensembles
• A reproducing kernel for nonsymmetric Macdonald polynomials
• The binomial formula for nonsymmetric Macdonald polynomials
• Pieri-Type Formulas for Nonsymmetric Macdonald Polynomials
• The product of a nonsymmetric Jack polynomial with a linear function
• A new class of symmetric functions
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