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

摘要

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