Representations of Askey--Wilson algebra

Abstract

We deal with the classification problem of finite-dimensional representations of so called Askey--Wilson algebra in the case when $q$ is not a root of unity. We classify all representations satisfying certain property, which ensures diagonalizability of one of the generating elements.

19 pages, opmac; revised after review in SIGMA

References in corpus (2)

• The Universal Askey-Wilson Algebra
• Center of the universal Askey--Wilson algebra at roots of unity