An embedding of the Bannai–Ito algebra in $$\mathscr {U}(\mathfrak {osp}(1,2))$$ U ( osp ( 1 , 2 ) ) and $$-1$$ - 1 polynomials
Abstract An embedding of the Bannai–Ito algebra in the universal enveloping algebra of $$\mathfrak {osp}(1,2)$$...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Netherlands
2021
|
| Online Access: | https://hdl.handle.net/1721.1/131774 |
| Summary: | 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. |
|---|