A Dirac–Dunkl Equation on S[superscript 2] and the Bannai–Ito Algebra

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...

Full description

Bibliographic Details
Main Authors: De Bie, Hendrik, Vinet, Luc, Genest, Vincent
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2017
Online Access:http://hdl.handle.net/1721.1/106578