Koszul Calculus
Rings and Algebras
2017-06-21 v3
Abstract
We present a new calculus which is well-adapted to quadratic algebras. This calculus consists in Koszul (co)homology, together with Koszul cup and cap products. Some applications are given. Koszul duality for Koszul (co)homology is proved for any quadratic algebra.
Keywords
Cite
@article{arxiv.1512.00183,
title = {Koszul Calculus},
author = {Roland Berger and Thierry Lambre and Andrea Solotar},
journal= {arXiv preprint arXiv:1512.00183},
year = {2017}
}
Comments
40 pages; minor changes; to be published in Glasgow Mathematical Journal