A Generalized Macdonald Operator

DOI10.1093/imrn/rnq233zbMath1236.33037arXiv1009.4486OpenAlexW3103276567MaRDI QIDQ3089079

E. Emsiz, Jan Felipe van Diejen

Publication date: 23 August 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4486

zbMATH Keywords

difference operatorMacdonald polynomialsPieri formulaLittlewood-Richardson formula

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (7)

Orthogonality of Macdonald polynomials with unitary parameters ⋮ Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions ⋮ Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit ⋮ Quantum Lax pairs via Dunkl and Cherednik operators ⋮ A Pieri formula for the characters of complex simple Lie algebras ⋮ Generalized Macdonald-Ruijsenaars systems. ⋮ Macdonald operators and quantum Q-systems for classical types

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