On the wavefront sets associated with theta representations

2020/08/09 by Fan Gao, Wan-Yu Tsai, Gao, Fan +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #Primary 11F70 #Representation Theory (math.RT) #Secondary 22E50

paper · pdf · doi:10.48550/arxiv.2008.03630

openalex publication_date 2020/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a conjectural formula for the maximal elements in the wavefront set associated with a theta representation of a covering group over p-adic fields. In particular, it is shown that the formula agrees with the existing work in the literature for various families of groups. We also recapitulate the results of an analogous formula in the archimedean case, which motivated the conjectural formula in the p-adic setting.

Citations

• On descent and the generic packet conjecture

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