Askey–Wilson Braid Algebra and Centralizer of $$U_q(\mathfrak {sl}

Askey–Wilson Braid Algebra and Centralizer of $$U_q(\mathfrak {sl}_2)$$

Published:2023-02-09 Issue:6 Volume:24 Page:1897-1922
ISSN:1424-0637
Container-title:Annales Henri Poincaré
language:en
Short-container-title:Ann. Henri Poincaré

Author:

Crampé Nicolas,d’Andecy Loïc Poulain,Vinet Luc,Zaimi Meri^ORCID

Funder

Centre National de la Recherche Scientifique

Agence Nationale de la Recherche

Natural Sciences and Engineering Research Council of Canada

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s00023-023-01275-4.pdf

Reference40 articles.

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2. Broué, M., Malle, G.: Zyclotomische Heckealgebren, Représentations unipotentes génériques et blocs des groupes réductifs finis. Astérisque 212, 119–189 (1993)

3. Broué, M., Malle, G., Rouquier, R.: Complex reflection groups, braid groups, Hecke algebras. J. Reine Angew. Math. 500, 127–190 (1998)

4. Chavli, E.: Universal deformations of the finite quotients of the braid group on 3 strands. J. Algebr. 459, 238–271 (2016)

5. Cooke, J., Lacabanne, A.: Higher rank Askey–Wilson algebras as skein algebras, arXiv:2205.04414

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