Creation operators for the Macdonald and Jack polynomials

DOI10.1023/A:1007332315944zbMath0882.33010arXivq-alg/9607024OpenAlexW2998900270MaRDI QIDQ1362372

Luc Lapointe, Luc Vinet

Publication date: 15 February 1998

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9607024

zbMATH Keywords

Rodrigues formulasymmetric functionsMacdonald polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (7)

Rodrigues formulas for the Macdonald polynomials ⋮ Sequences of symmetric polynomials and combinatorial properties of tableaux ⋮ Hopf dreams and diagonal harmonics ⋮ A short proof of the integrality of the Macdonald \((q,t)\)-Kostka coefficients ⋮ Raising operators for the Whittaker wave functions of the Toda chain and intertwining operators ⋮ Rodrigues formulas for the non-symmetric multivariable polynomials associated with the \(\text{BC}_N\)-type root system ⋮ An infrared bootstrap of the Schur index with surface defects

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