English

A contraction of the principal series by Berezin-Weyl quantization

Representation Theory 2014-01-23 v1

Abstract

We study a contraction of the principal series representations of a noncompact semisimple Lie group to the unitary irreducible representations of its Cartan motion group by means of the Berezin-Weyl quantization on the coadjoint orbits associated with these representations.

Keywords

Cite

@article{arxiv.1401.5335,
  title  = {A contraction of the principal series by Berezin-Weyl quantization},
  author = {Benjamin Cahen},
  journal= {arXiv preprint arXiv:1401.5335},
  year   = {2014}
}