Factorization formulas for Macdonald polynomials

DOI10.1016/j.ejc.2007.02.013zbMath1137.05073arXivmath/0611522OpenAlexW2047045066MaRDI QIDQ2472834

Hideaki Morita, François Descouens

Publication date: 25 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0611522

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items

Plethysms of chromatic and Tutte symmetric functions ⋮ A bijective proof of a factorization formula for specialized Macdonald polynomials ⋮ On a bijective proof of a factorization formula for Macdonald polynomials ⋮ Garsia-Haiman modules for hook partitions and Green polynomials with two variables ⋮ Properties of non-symmetric Macdonald polynomials at \(q=1\) and \(q=0\) ⋮ Macdonald polynomials and cyclic sieving

Uses Software

• MuPAD-Combinat

Cites Work

• Green polynomials at roots of unity and Springer modules for the symmetric groups
• Green polynomials and Hall-Littlewood functions at roots of unity
• MuPAD-Combinat, an open-source package for research in algebraic combinatorics
• Garsia-Haiman modules for hook partitions and Green polynomials with two variables
• A CLASS OF ARITHMETICAL FUNCTIONS
• A combinatorial formula for nonsymmetric Macdonald polynomials
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