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math.RT2025
Non-decreasable K-types are unitarily small
Chao-Ping Dong, Chengyu Du, Haojun Xu
Let be a connected simple non-compact real reductive Lie group with a maximal compact subgroup . This note aims to show that any non-decreasable -type (in the sense of th…
math.RT2024
Dirac cohomology, branching laws and Wallach modules
Chao-Ping Dong, Yongzhi Luan, Haojun Xu
The idea of using Dirac cohomology to study branching laws was initiated by Huang, Pandzić and Zhu in 2013 [HPZ]. One of their results says that the Dirac cohomology of complet…