Howe duality and algebras of the Askey-Wilson type: an overview
Representation Theory
2022-06-15 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1911.08314,
title = {Howe duality and algebras of the Askey-Wilson type: an overview},
author = {Julien Gaboriaud and Luc Vinet and Stéphane Vinet},
journal= {arXiv preprint arXiv:1911.08314},
year = {2022}
}
Comments
8 pages, Proceedings for XI. International Symposium Quantum Theory and Symmetries, 1 - 5 July 2019, Montreal, Canada