An embedding of the Bannai-Ito algebra in $U(osp(1,2))$ and −1 polynomials - Archive ouverte HAL Access content directly
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## An embedding of the Bannai-Ito algebra in $U(osp(1,2))$ and −1 polynomials

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Luc Vinet
• Function : Author
Alexei Zhedanov
• Function : Author
Vincent Genest
• Function : Author

#### Abstract

An embedding of the Bannai-Ito algebra in the universal enveloping algebra of osp(1,2) is provided. A connection with the characterization of the little −1 Jacobi polynomials is found in the holomorphic realization of osp(1,2). An integral expression for the Bannai-Ito polynomials is derived as a corollary.

### Dates and versions

cea-01529434 , version 1 (30-05-2017)

### Identifiers

• HAL Id : cea-01529434 , version 1
• ARXIV :

### Cite

Luc Vinet, Alexei Zhedanov, Vincent Genest. An embedding of the Bannai-Ito algebra in $U(osp(1,2))$ and −1 polynomials. 2017. ⟨cea-01529434⟩

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