Koszul calculus for N-homogeneous algebras
Rings and Algebras
2017-12-19 v2 Representation Theory
Abstract
We extend the Koszul calculus defined on quadratic algebras by Berger, Lambre and Solotar, to N-homogeneous algebras. When N>2, the Koszul cup and cap products are defined by specific expressions, and they are compatible with the Koszul differentials, providing associative products on (co)homology classes. The N-Koszul calculus is calculated for the truncated polynomial algebras.
Keywords
Cite
@article{arxiv.1610.01035,
title = {Koszul calculus for N-homogeneous algebras},
author = {Roland Berger},
journal= {arXiv preprint arXiv:1610.01035},
year = {2017}
}
Comments
39 pages, added references, minor corrections