| dc.contributor.author | De Bie, Hendrik | |
| dc.contributor.author | Vinet, Luc | |
| dc.contributor.author | Genest, Vincent | |
| dc.date.accessioned | 2017-01-20T21:46:18Z | |
| dc.date.available | 2017-03-01T16:14:48Z | |
| dc.date.issued | 2016-05 | |
| dc.date.submitted | 2015-01 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.issn | 1432-0916 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/106578 | |
| dc.description.abstract | The Dirac–Dunkl operator on the two-sphere associated to the Z[superscript 3][subscript 2] reflection group is considered. Its symmetries are found and are shown to generate the Bannai–Ito algebra. Representations of the Bannai–Ito algebra are constructed using ladder operators. Eigenfunctions of the spherical Dirac–Dunkl operator are obtained using a Cauchy–Kovalevskaia extension theorem. These eigenfunctions, which correspond to Dunkl monogenics, are seen to support finite-dimensional irreducible representations of the Bannai–Ito algebra. | en_US |
| dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s00220-016-2648-1 | 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 Berlin Heidelberg | en_US |
| dc.title | A Dirac–Dunkl Equation on S[superscript 2] and the Bannai–Ito Algebra | en_US |
| dc.title.alternative | A Dirac–Dunkl Equation on S2 and the Bannai–Ito Algebra | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | De Bie, Hendrik, Vincent X. Genest, and Luc Vinet. “A Dirac–Dunkl Equation on S 2 and the Bannai–Ito Algebra.” Communications in Mathematical Physics 344, no. 2 (May 9, 2016): 447–464. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Genest, Vincent | |
| dc.relation.journal | Communications in Mathematical Physics | en_US |
| 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 | 2016-05-23T12:09:26Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer-Verlag Berlin Heidelberg | |
| dspace.orderedauthors | De Bie, Hendrik; Genest, Vincent X.; Vinet, Luc | en_US |
| dspace.embargo.terms | N | en |
| mit.license | PUBLISHER_POLICY | en_US |
