English

Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series

Symplectic Geometry 2012-01-27 v1 Representation Theory

Abstract

In this paper we show that the multiplicities of holomorphic discrete series representations relatively to reductive subgroups satisfy the credo "Quantization commutes with reduction".

Keywords

Cite

@article{arxiv.1201.5451,
  title  = {Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series},
  author = {Paul-Emile Paradan},
  journal= {arXiv preprint arXiv:1201.5451},
  year   = {2012}
}

Comments

40 pages