English

On Harish-Chandra theory of global nonsymmetric functions

Quantum Algebra 2014-07-22 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.1407.5260,
  title  = {On Harish-Chandra theory of global nonsymmetric functions},
  author = {Ivan Cherednik},
  journal= {arXiv preprint arXiv:1407.5260},
  year   = {2014}
}