On integral images of Curtis homomorphisms for GL_n and U_n

2024/01/10 by Tzu-Jan Li, Li, Tzu-Jan
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2401.04989

openalex publication_date 2024/01/10 · openalex created_date 2024/01/13 · openalex updated_date 2026/07/28

Abstract

For G = GL_n or U_n defined over a finite field of characteristic p, we refine a result of Bonnafé and Kessar on the saturatedness of the Curtis homomorphism Cur^G by describing the image of Cur^G over ℤ[1/p] via a system of linear conditions.

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