Y. Benoist and T. Kobayashi. Temperedness of reductive homogeneous spaces. J. Eur. Math. Soc. 17 (2015), 3015-3036, DOI: 10.4171/JEMS/578. arXiv: 1211.1203..

Let G be a semisimple algebraic Lie group and H a reductive subgroup. We find geometrically the best even integer p for which the representation of G in L2(G/H) is almost Lp. As an application, we give a criterion which detects whether this representation is tempered.

arXiv | IHES-preprint | preprint version(pdf) ]

Home EnHome Jp

© Toshiyuki Kobayashi