𝔬𝔰𝔭(1,2) and generalized Bannai–Ito algebras-Reference-Cited by-同舟云学术

𝔬𝔰𝔭(1,2) and generalized Bannai–Ito algebras

Published:2018-12-07 Issue:6 Volume:372 Page:4127-4148
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Genest Vincent,Lapointe Luc,Vinet Luc

Abstract

Generalizations of the (rank- 1 1 ) Bannai–Ito algebra are obtained from a refinement of the grade involution of the Lie superalgebra o s p ( 1 , 2 ) \mathfrak {osp}(1,2) . A hyperoctahedral extension is derived by using a realization of o s p ( 1 , 2 ) \mathfrak {osp}(1,2) in terms of Dunkl operators associated with the Weyl group B 3 B_3 .

Funder

Fondo Nacional de Desarrollo Científico y Tecnológico

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2019-372-06/S0002-9947-2018-07733-9/tran7733_AM.pdf

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1. The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra;Symmetry, Integrability and Geometry: Methods and Applications;2020-08-10

2. The q‐Bannai–Ito algebra and multivariate (−q)‐Racah and Bannai–Ito polynomials;Journal of the London Mathematical Society;2020-07-27

3. Finite-dimensional irreducible modules of the Bannai–Ito algebra at characteristic zero;Letters in Mathematical Physics;2020-07-02

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