13 citations · 66 across the 43 of their papers we have counts for
8 papers · 1 filter
Symplectic Dirac operators on homogeneous spaces
Dan Ciubotaru, Gang Liu, Salah Mehdi +1
We define symplectic Dirac operators on homogeneous spaces and study their representation-theoretic role. For an invariant polarization, the symplectic Dirac operator decomposes in…
Dirac cohomology and -correspondence for complex dual pairs
Spyridon Afentoulidis-Almpanis, Gang Liu, Salah Mehdi
We study the behavior of Dirac cohomology under Howe's -correspondence in the case of complex reductive dual pairs. More precisely, if is a complex reductive dual pa…
A proof of Casselman's comparison theorem for standard minimal parabolic subalgebra
Ning Li, Gang Liu, Jun Yu
Let be a real linear reductive group and be a maximal compact subgroup. Let be a minimal parabolic subgroup of with complexified Lie algebra , and $\m…
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…
Dual pairs in the Pin-group and duality for the corresponding spinorial representation
Clément Guérin, Gang Liu, Allan Merino
In this paper, we give a complete picture of Howe correspondence for the setting (), where is an orthogonal group (real or complex), is…
A geometric interpretation of Kirillov's Conjecture
Gang Liu, Jun Yu
In this article, we give a natural geometric interpretation of Kirillov's conjecture for tempered representations in the framework of orbit method. This interpretation can also be…