Julien Gaboriaud, Luc Vinet, Stéphane Vinet
Published 2019-11-18Version 1
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.
Comments: 8 pages, Proceedings for XI. International Symposium Quantum Theory and Symmetries, 1 - 5 July 2019, Montreal, Canada
Representations of Askey--Wilson algebra
Type I Howe Duality over Finite Fields
Howe duality and dynamical Weyl group
![QR code for arXiv:1911.08314 [math.RT]](http://oss.arxitics.com/images/favicon.svg)