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

Marta Mazzocco

In this paper we introduce a basic representation for the confluent Cherednik algebras ${\mathcal{H}}_{\mathrm{V}}$, ${\mathcal{H}}_{\mathrm{III}}$, ${\mathcal{H}}_{\mathrm{III}}^{D_7}$ and $\mathcal H_{\…