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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 that there are no genuine special unipotent representations of complex spin groups.

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Genuine Special Unipotent Representations of Spin Groups

  • 章节

  • 发表日期：

    2025年

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  • Dan Barbasch,
  • Jia-Jun Ma,
  • Binyong Sun,
  • Chen-Bo Zhu

摘要

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 that there are no genuine special unipotent representations of complex spin groups.