Y. Benoist and T. Kobayashi, Tempered homogeneous spaces II, Dynamics, Geometry, Number Theory: The Impact of Margulis on Modern Mathematics (D. Fisher, D. Kleinbock, and G. Soifer, eds.), pp. 213-245. The University of Chicago Press, 2022. Available also at arXiv: 1706.10131.

Let G be a connected semisimple Lie group with finite center and H a connected closed subgroup. We establish a geometric criterion which detects whether the representation of G in L²(G/H) is tempered.

[ arXiv | preprint version(pdf)  | related papers: Part I, Part III, Part IV ]

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