Unitary dual of quasi-split PGSO₈^E

2018/01/21 by Caihua Luo, Luo, Caihua · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1801.06753

Minor errors corrected

openalex publication_date 2018/01/21 · arxiv created 2018/08/06 · arxiv updated 2018/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we first determine the explicit Langlands classification for the quasi-split group PGSO₈^E by following Casselman-Tadi\acutec's Jacquet module machine. Based on the classification, we furthur sort out the unitary dual of PGSO₈^E and compute the Aubert duality.

Citations

• On Certain L-Functions

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• Universal hierarchical structure of reducibility of Harish-Chandra parabolic induction

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