Tempered reductive homogeneous spaces
Yves BenoistUniversité Paris-Sud, Orsay, France
Toshiyuki KobayashiUniversity of Tokyo, Japan
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. 3015–3036DOI 10.4171/JEMS/578