6533b836fe1ef96bd12a1bb2

RESEARCH PRODUCT

Nori’s Diagram Category

Annette HuberStefan Müller-stach

subject

Pure mathematicsMathematics::Algebraic GeometryFunctorTensor productMathematics::K-Theory and HomologyMathematics::Category TheoryTensor (intrinsic definition)DiagramAbelian categoryRepresentation (mathematics)Dual (category theory)Mathematics

description

We explain Nori’s construction of an abelian category attached to the representation of a diagram and establish some properties for it. The construction is completely formal. It mimics the standard construction of the Tannakian dual of a rigid tensor category with a fibre functor . Only, we do not have a tensor product or even a category but only what we should think of as the fibre functor.

yearjournalcountryeditionlanguage
2017-01-01
https://doi.org/10.1007/978-3-319-50926-6_7