SMS scnews item created by Kevin Coulembier at Mon 27 Mar 2017 1129
Type: Seminar
Distribution: World
Expiry: 8 May 2017
Calendar1: 7 Apr 2017 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Algebra Seminar: On the algebra of symmetries of Dirac operators
Auth: kevinc@pkevinc.pc (assumed)

# Algebra Seminar: De Bie -- On the algebra of symmetries of Dirac operators

Hendrik De Bie (Ghent University)

Friday 7 April, 12-1pm, Place: Carslaw 375

Title: On the algebra of symmetries of Dirac operators

Abstract: 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.


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