Tempered homogeneous spaces II

Yves Benoist; Toshiyuki Kobayashi

Tempered homogeneous spaces II

Representation Theory 2021-07-27 v2

Authors: Yves Benoist , Toshiyuki Kobayashi

Abstract

Let $G$ be a semisimple real Lie group with finite center and $H$ a connected closed subgroup. We establish a geometric criterion which detects whether the representation of $G$ in $L^2(G/H)$ is tempered.

Keywords

lie groups group representations lie algebra

Cite

@article{arxiv.1706.10131,
  title  = {Tempered homogeneous spaces II},
  author = {Yves Benoist and Toshiyuki Kobayashi},
  journal= {arXiv preprint arXiv:1706.10131},
  year   = {2021}
}

Comments

34 pages. To be published in: Dynamics, Geometry, Number Theory: The Impact of Margulis on Modern Mathematics (eds. D. Fisher, D. Kleinbock, and G. Soifer), The University of Chicago Press

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