Tempered reductive homogeneous spaces

  • Yves Benoist

    Université Paris-Sud, Orsay, France
  • Toshiyuki Kobayashi

    University of Tokyo, Japan

Abstract

Let be a semisimple algebraic Lie group and a reductive subgroup. We find geometrically the best even integer for which the representation of in is almost . As an application, we give a criterion which detects whether this representation is tempered.

Cite this article

Yves Benoist, Toshiyuki Kobayashi, Tempered reductive homogeneous spaces. J. Eur. Math. Soc. 17 (2015), no. 12, pp. 3015–3036

DOI 10.4171/JEMS/578