Tempered homogeneous spaces III
Group Theory
2020-09-23 v1 Representation Theory
Abstract
Let G be a real semisimple algebraic Lie group and H a real reductive algebraic subgroup. We describe the pairs (G,H) for which the representation of G in is tempered. When G and H are complex Lie groups, the temperedness condition is characterized by the fact that the stabilizer in H of a generic point on G/H is virtually abelian.
Keywords
Cite
@article{arxiv.2009.10389,
title = {Tempered homogeneous spaces III},
author = {Yves Benoist and Toshiyuki Kobayashi},
journal= {arXiv preprint arXiv:2009.10389},
year = {2020}
}