Complex representations of reductive algebraic groups with Frobenius maps in the category \mathscrX

2023/09/01 by Junbin Dong, Dong, Junbin
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2309.00341

openalex publication_date 2023/09/01 · openalex created_date 2023/09/05 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce an abelian category \mathscrX(\bf G) to study the complex representations of a reductive algebraic groups \bf G with Frobenius map. We classify all the simple objects in \mathscrX(\bf G) and show that this category is a highest weight category.

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