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Representations of Askey--Wilson algebra

Published 27 Feb 2017 in math.RT and math.QA | (1702.08237v3)

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.

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