Finite dimensional representations of double affine Hecke algebra of rank 1

Abstract

We classify the finite dimensional representations of the double affine Hecke algebra of type $C^{\vee }{C}_1$ in the case when $q$ is not a root of 1.

arXiv comment8 pages, no figures; exposition is improved

Cited by in corpus (2)

• The polynomial representation of the double affine Hecke algebra of type $(C_n^{\vee },C_n)$ for specialized parameters
• Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle