47 citations · 147 across the 24 of their papers we have counts for
25 papers
Spin Norm and Lambda Norm
Chengyu Du, Chao-ping Dong
Given a -type , it is known that its spin norm (due to first-named author) is lower bounded by its lambda norm (due to Vogan). That is, $\|π\|_{\rm spin}\geq \|π\|_{\rm lambd…
Dirac series of
Yi-Hao Ding, Chao-Ping Dong, Ping-Yuan Li
Using the sharpened Helgason-Johnson bound, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology of . As an application, we f…
Dirac series of
Yi-Hao Ding, Chao-Ping Dong
By further sharpening the Helgason-Johnson bound in 1969, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology of the Hermitian symmetri…
Dirac series for complex
Chao-Ping Dong, Kayue Daniel Wong
This paper classifies the Dirac series for complex . As applications, we verify a few conjectures raised in 2011, 2019 and 2020 for this exceptional Lie group. In particular,…
A non-vanishing criterion for Dirac cohomology
Chao-Ping Dong
This paper gives a criterion for the non-vanishing of the Dirac cohomology of , where is the cohomological induction functor, while the ind…
Dirac index of some unitary representations of and
Chao-Ping Dong, Kayue Daniel Wong
Let be or . We compute the Dirac index of a large class of unitary representations considered by Vogan in Section 8 of [Vog84], which include all…