English

Multiplicities of the discrete series

Representation Theory 2008-12-02 v1 Symplectic Geometry

Abstract

The purpose of this paper is to show that the multiplicities of a discrete series representation relatively to a compact subgroup can be "computed" geometrically, in the way predicted by the "qantization commutes with reduction" principle of Guillemin-Sternberg.

Keywords

Cite

@article{arxiv.0812.0059,
  title  = {Multiplicities of the discrete series},
  author = {Paul-Emile Paradan},
  journal= {arXiv preprint arXiv:0812.0059},
  year   = {2008}
}
R2 v1 2026-06-21T11:46:36.668Z