Integral motives, relative Krull-Schmidt principle, and Maranda-type\n theorems

2013/12/09 by Nikita Semenov, Semenov, Nikita, Maksim Zhykhovich +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1312.2480

openalex publication_date 2013/12/09 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

In the present article we investigate properties of the category of the\nintegral Grothendieck-Chow motives over a field. We discuss the Krull-Schmidt\nprinciple for integral motives, provide a complete list of the generalized\nSeveri-Brauer varieties with indecomposable integral motive, and exploit a\nrelation between the category of motives of twisted flag varieties and integral\np-adic representations of finite groups.\n

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