The genuine unitary dual of complex spin groups

2023/03/20 by Kayue Daniel Wong, Wong, Kayue Daniel, Hongfeng Zhang +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2303.10803

openalex publication_date 2023/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this manuscript, we give a classification of all irreducible, unitary representations of complex spin groups.

Related

• Genuine special unipotent representations of spin groups
• Irreducible representations of finite spin groups
• Unitary representations of groups, duals, and characters
• Hodge theory and unitary representations, in the example of SL(2,ℝ)
• Unipotent Ideals for Spin and Exceptional Groups