Abstract
The Bannai-Ito polynomials are shown to arise as Racah coeffi- cients for sl−1(2). This Hopf algebra has four generators including an involu- tion and is defined with both commutation and anticommutation relations. It is also equivalent to the parabosonic oscillator algebra. The coproduct is used to show that the Bannai-Ito algebra acts as the hidden symmetry algebra of the Racah problem for sl−1(2). The Racah coefficients are recovered from a related Leonard pair.
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