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- W2561970623 abstract "Given an algebraic group G dened over a (not necessarily algebraically closed) eld F and a commutative ring R we associate the subcategory M(G; R) of the category of Chow motives with coecien ts in R, that is, the Tate pseudo-abelian closure of the category of motives of projective homogeneous G-varieties. We show that M(G; R) is a symmetric tensor category, i.e., the motive of the product of two projective homogeneous G-varieties is a direct sum of twisted motives of projective homogeneous G-varieties. We also study the problem of uniqueness of a direct sum decomposition of objects in M(G; R). We prove that the Krull{ Schmidt theorem holds in many cases." @default.
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- W2561970623 date "2006-01-01" @default.
- W2561970623 modified "2023-09-27" @default.
- W2561970623 title "MOTIVIC DECOMPOSITION OF" @default.
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