Tempered reductive homogeneous spaces

  • Yves Benoist

    Université Paris-Sud, Orsay, France
  • Toshiyuki Kobayashi

    University of Tokyo, Japan


Let GG be a semisimple algebraic Lie group and HH a reductive subgroup. We find geometrically the best even integer pp for which the representation of GG in L2(G/H)L^2(G/H) is almost LpL^p. 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