Temperedness of reductive homogeneous spaces
Representation Theory
2016-03-02 v2 Functional Analysis
Abstract
Let G be a semisimple algebraic Lie group and H a reductive subgroup. We find geometrically the best even integer p for which the representation of G in L^2(G/H) is almost L^{p}. As an application, we give a criterion which detects whether this representation is tempered.
Keywords
Cite
@article{arxiv.1211.1203,
title = {Temperedness of reductive homogeneous spaces},
author = {Yves Benoist and Toshiyuki Kobayashi},
journal= {arXiv preprint arXiv:1211.1203},
year = {2016}
}
Comments
to appear in Journal of European Mathematical Society