An exposition on criteria for properness of homogeneous spaces under reductive groups, the link to discrete decomposability of representations, and two quantitative measures of proper actions via sharpness and dynamical volume estimates.
Kobayashi, Bounded multiplicity branching for symmetric pairs , Jour- nal of Lie Theory, 33, (2023), 305–328, Special Volume for Karl Heinrich Hofmann
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Proper Actions and Representation Theory
An exposition on criteria for properness of homogeneous spaces under reductive groups, the link to discrete decomposability of representations, and two quantitative measures of proper actions via sharpness and dynamical volume estimates.