3 papers
math.RT2026
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…
math.RT2025
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…
math.RT2025
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…