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Integral motives, relative Krull-Schmidt principle, and Maranda-type theorems (1312.2480v2)
Published 9 Dec 2013 in math.AG and math.RT
Abstract: In the present article we investigate properties of the category of the integral Grothendieck-Chow motives over a field. We discuss the Krull-Schmidt principle for integral motives, provide a complete list of the generalized Severi-Brauer varieties with indecomposable integral motive, and exploit a relation between the category of motives of twisted flag varieties and integral $p$-adic representations of finite groups.