13 citations · 74 across the 33 of their papers we have counts for
33 papers
Dirac series for complex
Dan Barbasch, Kayue Daniel Wong
In this paper, we classify all unitary representations with non-zero Dirac cohomology for complex Lie group of Type E8. This completes the classification of Dirac series for all co…
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…
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…
Admissible modules and normality of classical nilpotent orbits II
Dan Barbasch, Kayue Daniel Wong
In this paper, we compute the character formula of the Brylinski model for all classical nilpotent varieties . As a consequence, one can compute the multipl…
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…