INTEGRAL MOTIVES, RELATIVE KRULL-SCHMIDT PRINCIPLE, AND MARANDA-TYPE THEOREMS

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. 1