The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials

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...

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Bibliographic Details
Main Authors: Vinet, Luc, Zhedanov, Alexei, Genest, Vincent
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2017
Online Access:http://hdl.handle.net/1721.1/107977