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On the irreducibility of some restrictions in nilpotent Lie groups
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2020-03-13 , DOI: 10.1016/j.bulsci.2020.102855 Amira Ghorbel , Zaineb Loksaier
中文翻译:
关于幂等李群中某些限制的不可约性
更新日期:2020-03-13
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2020-03-13 , DOI: 10.1016/j.bulsci.2020.102855 Amira Ghorbel , Zaineb Loksaier
Let G be a connected simply connected nilpotent Lie group and let Γ be a discrete subgroup of G. We characterize the irreducible unitary representations of G that remain irreducible when restricted to Γ.
中文翻译:
关于幂等李群中某些限制的不可约性
令G是一个连通的单纯连通幂等李群,而Γ是G的一个离散子群。我们刻画了G的不可约单一表示,当限制为Γ时,它们仍然不可约。