10 jun 2014 -- 11:00
Aula Tricerri, DIMAI, Firenze
il Prof. Syed Twareque Ali della Concordia University di Montreal, Quebec terrà un seminario intitolato
"The quaternionic affine group: representations, coherent states and wavelets"
nell'ambito del progetto FIRB 2012 "Geometria Differenziale e Teoria Geometrica delle Funzioni".
Abstract.
As a natural extension of the affine groups of the reals and the complexes, leading to one and two dimensional wavelets, we look at the quaternionic affine group and its representations on both complex and quaternionic Hilbert spaces. We then study the problem of coherent states and wavelets built from these representations. We also look at the question of extending the standard irreducible representations of groups with open free orbits to quaternionic Hilbert spaces.