11 citations · 47 across the 8 of their papers we have counts for
9 papers
A criterion for discrete branching laws for Klein four symmetric pairs and its application to
Haian He
Let be a noncompact connected simple Lie group, and a Klein four symmetric pair. In this paper, the author shows a necessary condition for the discrete decomposabilit…
Dirac series for
Lin-Gen Ding, Chao-Ping Dong, Haian He
Up to equivalence, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology for the simple Lie group , which is of Hermitian sym…
Discretely decomposable restrictions of -modules for Klein four symmetric pairs of exceptional Lie groups of Hermitian type
Haian He
Let be a Klein four symmetric pair. The author wants to classify all the Klein four symmetric pairs such that there exists at least one nontrivial unitarizable…
Classification of Klein Four Symmetric Pairs of Holomorphic Type for
Haian He
The author classifies Klein four symmetric pairs of holomorphic type for the non-compact Lie group of Hermitian type , and applies the results to branching rul…
Classification of Klein Four Symmetric Pairs of Holomorphic Type for
Haian He
The author classifies Klein four symmetric pairs of holomorphic type for non-compact Lie group , which gives a class of pairs of real reductive Lie gr…
On the Reducibility of Scalar Generalized Verma Modules of Abelian Type
Haian He
A parabolic subalgebra of a complex semisimple Lie algebra is called a parabolic subalgebra of abelian type if its nilpotent radical is abelian. In th…
Classification of Compatible Parabolic Subalgebras for Complex Symmetric Pairs
Haian HE
In this paper, we shall recall and arrange the relationship between hyperbolic elements and parabolic subalgebras at first. And then, we shall classify all the compatible parabolic…
A Generalization of Correspondence Theorem and Its Application to Branching Laws
Haian He
We begin with recalling the correspond theorem of induced modules and global sections of vector bundles. After that, we give a generalization of this theorem. Finally, we apply the…
Branching Laws of Generalized Verma Modules for Non-symmetric Polar Pairs
Haian HE
We give branching formulas from to for generalized Verma modules attached to -compatible parabolic subalgebras of $so(7,\mathbb{…