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arXiv · 1911.08314

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

Julien Gaboriaud·Luc Vinet·Stéphane Vinet
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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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Julien Gaboriaud, Luc Vinet, Stéphane Vinet. 2019-11-18. Howe duality and algebras of the Askey-Wilson type: an overview. https://doi.org/10.1007/978-3-030-55777-5_21

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