Graded and Koszul categories
Category Theory
2014-12-17 v1 Representation Theory
Abstract
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-commutative geometry and topology. The aim of this paper and several sequel papers is to show that for any finite dimensional algebra there is always a naturally associated Koszul theory. To obtain this, the notions of Koszul algebras, linear modules and Koszul duality are extended to additive (graded) categories over a field. The main focus of this paper is to provide these generalizations and the necessary preliminaries.
Cite
@article{arxiv.0902.0714,
title = {Graded and Koszul categories},
author = {Roberto Martinez-Villa and Øyvind Solberg},
journal= {arXiv preprint arXiv:0902.0714},
year = {2014}
}
Comments
34 pages