Koszul resolution for linear monoidal functors
Category Theory
2025-04-07 v1 Group Theory
Rings and Algebras
Representation Theory
Abstract
We introduce regular sequences and associated Koszul resolutions for monoids in the category of functors over an essentially small linear symmetric monoidal category. Next we define polynomials over such monoids. We compute the Hochschild cohomology functors and prove a relative analogue of Hilbert's syzygy theorem for polynomials over tensor idempotent commutative monoids.
Cite
@article{arxiv.2504.03240,
title = {Koszul resolution for linear monoidal functors},
author = {Serge Bouc and Nadia Romero},
journal= {arXiv preprint arXiv:2504.03240},
year = {2025}
}