On gamma factors of generic representations of \rm U_2n+1×\rm Res_E/F\rm GL_r

2023/11/26 by Cheng Yao, Cheng, Yao, Chian-Jen Wang +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2311.15323

openalex publication_date 2023/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we prove that the gamma factors attached to generic representations of \rm U_2n+1×\rm Res_E/F\rm GL_r over a local field F defined by various approaches coincide when F is non-archimedean and under additional assumptions on n,r and E when F is archimedean.

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