The homology of additive functors in prime characteristic

Fuente: arXiv
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Autori principali: Djament, Aurélien, Touzé, Antoine
Natura: Preprint
Pubblicazione: 2024
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author Djament, Aurélien
Touzé, Antoine
author_facet Djament, Aurélien
Touzé, Antoine
contents We compute certain Ext and Tor groups in the category of all functors from an Z/p-linear additive category A to vector spaces in terms of Ext and Tor computed in the full subcategory of additive functors from A to vector spaces. We thus obtain group homology computations for general linear groups.
format Preprint
id arxiv_https___arxiv_org_abs_2407_10522
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The homology of additive functors in prime characteristic
Djament, Aurélien
Touzé, Antoine
K-Theory and Homology
We compute certain Ext and Tor groups in the category of all functors from an Z/p-linear additive category A to vector spaces in terms of Ext and Tor computed in the full subcategory of additive functors from A to vector spaces. We thus obtain group homology computations for general linear groups.
title The homology of additive functors in prime characteristic
topic K-Theory and Homology
url https://arxiv.org/abs/2407.10522