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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…
Dirac series of
Chao-Ping Dong, Kayue Daniel Wong
The unitary dual of was classified by Vogan in the 1980s. Focusing on the irreducible unitary representations of with half-integral infinite…
Scattered representations of complex classical Lie groups
Chao-ping Dong, Kayue Daniel Wong
This paper studies scattered representations of , and , which lies in the `core' of the unitary spectrum with…
On the Dirac Series of
Chao-ping Dong, Kayue Daniel Wong
This paper computes the Dirac index of all the weakly fair modules of . Although counter-examples have been found to a conjecture of Vogan on the uni…
Scattered representations of
Chao-Ping Dong, Kayue Daniel Wong
Let be . This paper aims to describe the Zhelobenko parameters and the spin-lowest -types of the scattered representations of , which lie at the heart…
Dirac series for some real exceptional Lie groups
Jian Ding, Chao-Ping Dong, Liang Yang
Up to equivalence, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology for the following simple real exceptional Lie groups: ${\rm EI}=…