2011/11/22 by Jonas von Wangenheim, von Wangenheim, Jonas
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AG #math.CT
paper · pdf · doi:10.48550/arxiv.1111.5146
arxiv created 2011/11/22 · arxiv updated 2011/11/23
In the late 90s M. V. Nori constructed a category of motives in charakteristic 0. Using a directed graph with a representation into noetherian R-Modules, he defined a universal R-linear abelian category, called diagram category.The following paper describes this construction and gives proof to the necessary universal property. In addition we establish a criteria for the diagram category to be a category of finitely generated modules over a certain coalgebra. Finally we sketch the connection between the diagram category and the representations of affine group schemes (Tannaka-Dualism) and define the category of mixed Nori-Motives.