Tempered homogeneous spaces IV
Group Theory
2021-12-14 v2 Representation Theory
Abstract
Let G be a complex semisimple Lie group and H a complex closed connected subgroup. Let g and h be their Lie algebras. We prove that the regular representation of G in is tempered if and only if the orthogonal of h in g contains regular elements.
Keywords
Cite
@article{arxiv.2009.10391,
title = {Tempered homogeneous spaces IV},
author = {Yves Benoist and Toshiyuki Kobayashi},
journal= {arXiv preprint arXiv:2009.10391},
year = {2021}
}