The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials
Author(s)
Vinet, Luc; Zhedanov, Alexei; Genest, Vincent
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The Quantum Superalgebra ospq (1|2) and a q-Generalization of the Bannai–Ito Polynomials
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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.
Date issued
2016-05Department
Massachusetts Institute of Technology. Department of MathematicsJournal
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
ISSN
0010-3616
1432-0916