Speaker: Hendrik De Bie Affiliation: University of Ghent Time: 10am Tuesday, 7 March, 2017 Location: 303-B07 |
It is well-known that the n dimensional Laplace or Dirac equation has the angular momentum operators as symmetries. These operators generate the Lie algebra so(n). The situation becomes quite a bit more complicated (and interesting) if a deformation of the Dirac equation is considered. We are interested in the case where the deformation comes from the action of a finite reflection group. When the group is (Z_2)^n, this leads to the Bannai-Ito algebra. The case of arbitrary reflection groups is more complicated and uses techniques from Wigner quantization. I will explain both the (Z_2)^n and the more general case. This is based on joint work with V. Genest, L. Vinet, J. Van der Jeugt and R. Oste |