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math.RT2026
Square integrability of regular representations on reductive homogeneous spaces
Kazushi Maeda, Yoshiki Oshima
Let be a real reductive Lie group and a reductive subgroup of . Benoist-Kobayashi studied when is a tempered representation of and in particular they gave…
math.RT2020
Restriction of irreducible unitary representations of Spin(N,1) to parabolic subgroups
Gang Liu, Yoshiki Oshima, Jun Yu
In this paper, we obtain explicit branching laws for all irreducible unitary representations of $\Spin(N,1)$ restricted to a parabolic subgroup . The restriction turns out to be…