The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials
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Author(s)
Vinet, Luc
Zhedanov, Alexei
Genest, Vincent
Alternative Title
The Quantum Superalgebra ospq (1|2) and a q-Generalization of the Bannai–Ito Polynomials
Date Issued
May 2016
Journal
Communications in Mathematical Physics
Publisher
Springer Berlin Heidelberg
Citation
Genest, Vincent X., Luc Vinet, and Alexei Zhedanov. “The Quantum Superalgebra ospq](1|2) and a q-Generalization of the Bannai–Ito Polynomials.” Communications in Mathematical Physics 344, no. 2 (May 9, 2016): 465–481.
Version
Author's final manuscript
Abstract
The Racah problem for the quantum superalgebra osp[subscript q] (1|2) is considered. The intermediate Casimir operators are shown to realize a q-deformation of the Bannai–Ito algebra. The Racah coefficients of osp[subscript q] (1|2) are calculated explicitly in terms of basic orthogonal polynomials that q-generalize the Bannai–Ito polynomials. The relation between these q-deformed Bannai–Ito polynomials and the q-Racah/Askey–Wilson polynomials is discussed.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00220-016-2647-2
