17 citations · 36 across the 20 of their papers we have counts for
20 papers
Arithmetic Wavefront Set and Microlocal Structure of Harish-Chandra Character
Dihua Jiang, Dongwen Liu, Zhikang Luo +2
In this paper, we establish in Theorem 1.2 the reciprocity of wavefront sets for irreducible admissible representations of classical groups over any local field of char…
Theta correspondence and Springer correspondence
Jia-Jun Ma, Congling Qiu, Zhiwei Yun +1
In this paper, we obtain an explicit formula for the theta correspondence of unipotent principal-series representations between an even orthogonal and a symplectic group or between…
Weak unipotence and Langlands duality
Jia-jun Ma, Shilin Yu
Weak unipotence of primitive ideals is a crucial property in the study of unitary representations of reductive groups. We establish a sufficient condition, referred to as mild unip…
Special unipotent representations of simple linear Lie groups of type A
Dan Barbasch, Jia-Jun Ma, Binyong Sun +1
Let G be a special linear group over the real, the complex or the quaternion, or a special unitary group. In this note, we determine all special unipotent representations of G in t…
On the annihilator variety of a highest weight module for classical Lie algebras
Zhanqiang Bai, Jia-Jun Ma, Yutong Wang
Let be a classical complex simple Lie algebra. Let be a highest weight module of with highest weight , where is half the sum of positi…
Genuine special unipotent representations of spin groups
Dan Barbasch, Jia-Jun Ma, Binyong Sun +1
We determine all genuine special unipotent representations of real spin groups and quaternionic spin groups, and show in particular that all of them are unitarizable. We also show…
Generic Hecke algebra and theta correspondence over finite fields
Jia-Jun Ma, Congling Qiu, Jialiang Zou
We study the Hecke algebra modules arising from theta correspondence between certain Harish-Chandra series for type I dual pairs over finite fields. For the product of the pair of…
Fourier-Jacobi models of Deligne-Lusztig characters and depth zero local descent for unitary groups
Dongwen Liu, Jia-Jun Ma, Fang Shi
In this paper, we deduce explicit multiplicity formulas of the Fourier-Jacobi model for Deligne-Lusztig characters of finite symplectic groups, unitary groups, and general linear g…
Special unipotent representations of real classical groups: counting and reduction
Dan Barbasch, Jia-Jun Ma, Binyong Sun +1
Let be a real reductive group in Harish-Chandra's class. We derive some consequences of theory of coherent continuation representations to the counting of irreducible represent…
On the notion of metaplectic Barbasch-Vogan duality
Dan Barbasch, Jia-Jun Ma, Binyong Sun +1
In analogy with the Barbasch-Vogan duality for real reductive linear groups, we introduce a duality notion useful for the representation theory of the real metaplectic groups. This…
Associated varieties of minimal highest weight modules
Zhanqiang Bai, Jia-Jun Ma, Wei Xiao +1
Let be a complex simple Lie algebra. A simple -module is called minimal if the associated variety of its annihilator ideal coincides with the closure o…
Nilpotent orbits of orthogonal groups over -adic fields, and the DeBacker parametrization
Tobias Bernstein, Jia-Jun Ma, Monica Nevins +1
For local non-archimedean fields of sufficiently large residual characteristic, we explicitly parametrize and count the rational nilpotent adjoint orbits in each algebraic orbi…
Special unipotent representations of real classical groups: construction and unitarity
Dan Barbasch, Jia-Jun Ma, Binyong Sun +1
Let be a real classical group (including the real metaplectic group). We consider a nilpotent adjoint orbit of , the Langlands dual of (or th…
On two questions concerning representations distinguished by the Galois involution
Maxim Gurevich, Jia-Jun Ma, Arnab Mitra
Let E/F be a quadratic extension of non-archimedean local fields of characteristic 0. In this paper, we investigate two approaches which attempt to describe the smooth irreducible…
Local Theta Correspondences between Supercuspidal Representations
Hung Yean Loke, Jia-jun Ma
By the works of Yu, Kim and Hakim-Murnaghan, we have a parameterization and construction of all supercuspidal representations of a reductive -adic group in terms of supercuspida…
Local theta correspondences between epipelagic supercuspidal representations
Hung Yean Loke, Jia-jun Ma, Gordan Savin
In this paper we study the local theta correspondences between epipelagic supercupsidal representations of a type I classical dual pair over -adic fields. We show that,…
Derived functor modules, dual pairs and -actions
Jia-jun Ma
Derived functors (or Zuckerman functors) play a very important role in the study of unitary representations of real reductive groups. These functors are usually applied on highest…
Invariants and K-spectrums of local theta lifts
Hung Yean Loke, Jia-jun Ma
Let be a type I irreducible reductive dual pair in . We assume that is in the stable range where is the smaller member. Let a…
Transfer of K-types on local theta lifts of characters and unitary lowest weight modules
Hung Yean Loke, Jia-Jun Ma, U-Liang Tang
In this paper we study representations of the indefinite orthogonal group O(n,m) which are local theta lifts of one dimensional characters or unitary lowest weight modules of the d…
Associated cycles of local theta lifts of unitary characters and unitary lowest weight modules
Hung Yean Loke, Jia-jun Ma, U-Liang Tang
In this paper we first construct natural filtrations on the full theta lifts for any real reductive dual pairs. We will use these filtrations to calculate the associated cycles and…