Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Confluent Cherednik Algebras


In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, H7 III and H D8 III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric versions of the continuous dual qHahn, Al-Salam–Chihara, continuous big q-Hermite and continuous q-Hermite polynomials. 


Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.