An embedding of the Bannai–Ito algebra in $$\mathscr {U}(\mathfrak {osp}(1,2))$$ U ( osp ( 1 , 2 ) ) and $$-1$$ - 1 polynomials
Name
11005_2017_1041_ReferencePDF.pdf
Size
151.92 KB
Format
Adobe PDF
Checksum (MD5)
2d39928e4c44f7f44ff5cf5c23bbafce
Author(s)
Baseilhac, Pascal
Genest, Vincent X
Vinet, Luc
Zhedanov, Alexei
Date Issued
January 31, 2018
Publisher
Springer Netherlands
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s11005-017-1041-0
