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arXiv · 1610.01035

Koszul calculus for N-homogeneous algebras

Roland Berger
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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.

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Roland Berger. 2016-10-04. Koszul calculus for N-homogeneous algebras. https://arxiv.org/abs/1610.01035

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