A restriction on proper actions on homogeneous spaces of reductive type

Published 28 Jul 2014 in math.GR | (1407.7565v3)

Abstract: Let L be a reductive subgroup of a reductive Lie group G. Let G/H be a homogeneous space of reductive type. We provide a necessary condition for the properness of the action of L on G/H. As an application we give examples of spaces that do not admit standard compact Clifford-Klein forms.

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