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Tempered reductive homogeneous spaces

Yves BenoistToshiyuki Kobayashi — 2015

Journal of the European Mathematical Society

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 L 2 ( G / H ) is almost L p . As an application, we give a criterion which detects whether this representation is tempered.

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