(Co)homological vanishing for non-additive representations of a semi-additive category
Category Theory
2026-01-12 v2 Representation Theory
Abstract
We show the vanishing of higher extension groups and torsion groups between linearisation of additive functors from a semi-additive category satisfying some conditions to a category of vector spaces. In particular, we apply our results to the category of correspondences functors of Bouc-Th\'evenaz.
Keywords
Cite
@article{arxiv.2507.19317,
title = {(Co)homological vanishing for non-additive representations of a semi-additive category},
author = {Benachir El Allaoui},
journal= {arXiv preprint arXiv:2507.19317},
year = {2026}
}
Comments
14 pages