Symmetrization of Nonsymmetric Macdonald Polynomials and Macdonald's Inner Product Identities

DOI10.1111/1467-9590.01431zbMath1152.81852OpenAlexW2090371673MaRDI QIDQ4784770

Akinori Nishino, Yasushi Komori, Miki Wadati, Hideaki Ujino

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.01431

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Cites Work

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• Intertwining operators of double affine Hecke algebras
• A recursion and a combinatorial formula for Jack polynomials
• Rodrigues formulas for the Macdonald polynomials
• Rodrigues formulas for the non-symmetric multivariable polynomials associated with the \(\text{BC}_N\)-type root system
• An algebraic study on theA_N-1- andB_N-Calogero models with bosonic, fermionic and distinguishable particles
• Ruijsenaars’ commuting difference operators and invariant subspace spanned by theta functions
• Relativistic Calogero - Sutherland model: spin generalization, quantum affine symmetry and dynamical correlation functions
• Integrability of difference Calogero–Moser systems
• Lectures on affine Hecke algebras and Macdonald’s conjectures
• Bosonic and fermionic eigenstates for generalized Sutherland models
• Symmetric and non-symmetric bases of quantum integrable particle systems with long-range interactions

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