Tempered reductive homogeneous spaces
Yves Benoist
Université Paris-Sud, Orsay, FranceToshiyuki 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