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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★ 1 cited
On the annihilator variety of a highest weight module for classical Lie algebras
Zhanqiang Bai, Jia-Jun Ma, Yutong Wang
Let be a classical complex simple Lie algebra. Let be a highest weight module of with highest weight , where is half the sum of positi…
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…