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Categories of modules given by varieties of p-nilpotent operators

2011/10/12 by Rolf Farnsteiner, Farnsteiner, Rolf
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.1110.2706

openalex publication_date 2011/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a finite group scheme G over an algebraically closed field k of characteristic p>0 we study G-modules M, which are defined in terms of properties of their pull-backs along p-points of G. We show that the corresponding subcategories strongly depend on the structure of G. The second part of the paper discusses recent work by Carlson-Friedlander-Suslin concerning the subcategory of equal images modules from the vantage point of Auslander-Reiten theory.

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