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arXiv · 0902.0714

Graded and Koszul categories

Roberto Martinez-Villa·Øyvind Solberg
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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.

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Roberto Martinez-Villa, Øyvind Solberg. 2009-02-04. Graded and Koszul categories. https://arxiv.org/abs/0902.0714

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