On Harish-Chandra theory of global nonsymmetric functions

2014/07/20 by Ivan Cherednik, Cherednik, Ivan
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Mathematics #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1407.5260

openalex publication_date 2014/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the Harish-Chandra-type decomposition of the global nonsymmetric spherical functions in terms of their asymptotic expansions and the q,t-generalization of the celebrated c-function. This is for any reduced root systems in the q,t-setting; we pay special attention to the case of A1, where this decomposition is very explicit.

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