Genuine special unipotent representations of spin groups

2023/03/07 by Dan Barbasch, Barbasch, Dan, Jiajun Ma +5
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2303.03571

openalex publication_date 2023/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• The genuine unitary dual of complex spin groups
• Special unipotent representations of simple linear Lie groups of type A
• Unipotent Ideals for Spin and Exceptional Groups
• Unipotent representations and the dual pair correspondence
• Representations associated to small nilpotent orbits for real Spin groups