An embedding of the Bannai–Ito algebra in $$\mathscr {U}(\mathfrak {osp}(1,2))$$ U ( osp ( 1 , 2 ) ) and $$-1$$ - 1 polynomials
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Abstract
An embedding of the Bannai–Ito algebra in the universal enveloping algebra of
$$\mathfrak {osp}(1,2)$$
osp
(
1
,
2
)
is provided. A connection with the characterization of the little
$$-1$$
-
1
Jacobi polynomials is found in the holomorphic realization of
$$\mathfrak {osp}(1,2)$$
osp
(
1
,
2
)
. An integral expression for the Bannai–Ito polynomials is derived as a corollary.
Date issued
2018-01-31Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Springer Netherlands