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|a Vinet, Luc
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Genest, Vincent
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|a Zhedanov, Alexei
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|a Genest, Vincent
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|a The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai-Ito Polynomials
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|a The Quantum Superalgebra ospq (1|2) and a q-Generalization of the Bannai-Ito Polynomials
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|b Springer Berlin Heidelberg,
|c 2017-04-07T20:10:17Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/107977
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|a 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.
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|a en
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|a Article
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|t Communications in Mathematical Physics
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