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Howe duality and algebras of the Askey-Wilson type: an overview

Published 18 Nov 2019 in math.RT, math-ph, and math.MP | (1911.08314v1)

Abstract: The Askey-Wilson algebra and its relatives such as the Racah and Bannai-Ito algebras were initially introduced in connection with the eponym orthogonal polynomials. They have since proved ubiquitous. In particular they admit presentations as commutants that are related through Howe duality. This paper surveys these results.

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