The Principal Representations of Reductive Algebraic Groups with Frobenius Maps

2019/07/07 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.1907.03271

openalex publication_date 2019/07/07 · openalex created_date 2021/01/18 · openalex updated_date 2026/07/28

Abstract

We introduce the principal representation category \mathscrO(\bf G) of reductive algebraic groups with Frobenius maps and put forward a conjecture that this category is a highest weight category. When \Bbbk is complex field ℂ, we provide some evidences of this conjecture. We also study certain kind of bound quiver algebras whose representations are related to the principal representation category \mathscrO(\bf G) .

Citations

• Algebras and Quadratic Forms

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