activity
20042023
most citedCohomologically induced distinguished representations and cohomological test vectors

25 citations · 78 across the 37 of their papers we have counts for

collaborators

39 papers

math.RT2023

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…

math.RT2023

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…

math.RT2022★ 3 cited

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…

math.RT2021

Rankin-Selberg integrals for principal series representations of GL(n)

Dongwen Liu, Feng Su, Binyong Sun

We prove that the local Rankin--Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin--Selberg sub…

math.RT2021

Rankin-Selberg convolutions for and for principal series representations

Jian-Shu Li, Dongwen Liu, Feng Su +1

Let be a local field. Let and be smooth principal series representations of and respectively. T…

math.RT2021

Real fundamental Chevalley involutions and conjugacy classes

Gang Han, Binyong Sun

Let be a connected reductive linear algebraic group defined over , and let be a fundamental Chevalley involution. We show…