Hongfeng Zhang
Published 2021-02-08Version 1
In this article, we generalize Duflo's conjecture to understand the branching laws of non-discrete series. We give a unified description on the geometric side about the restriction of an irreducible unitary representation $\pi$ of $\mathrm{GL}_n(k)$, $k=\mathbb{R}$ or $\mathbb{C}$, to the mirabolic subgroup, where $\pi$ is attached to a certain kind of coadjoint orbit.
Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group $SO_0(2,m)$
A generalization of Lazard's elimination theorem
Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type
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