| dc.contributor.author | Baseilhac, Pascal | |
| dc.contributor.author | Genest, Vincent X | |
| dc.contributor.author | Vinet, Luc | |
| dc.contributor.author | Zhedanov, Alexei | |
| dc.date.accessioned | 2021-09-20T17:30:13Z | |
| dc.date.available | 2021-09-20T17:30:13Z | |
| dc.date.issued | 2018-01-31 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/131774 | |
| dc.description.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. | en_US |
| dc.publisher | Springer Netherlands | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s11005-017-1041-0 | en_US |
| dc.rights | 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. | en_US |
| dc.source | Springer Netherlands | en_US |
| dc.title | An embedding of the Bannai–Ito algebra in $$\mathscr {U}(\mathfrak {osp}(1,2))$$ U ( osp ( 1 , 2 ) ) and $$-1$$ - 1 polynomials | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2020-09-24T20:38:04Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer Science+Business Media B.V., part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2020-09-24T20:38:04Z | |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
