素特性中的可加函数同调

arXiv - MATH - K-Theory and Homology Pub Date : 2024-07-15 DOI:arxiv-2407.10522

Aurélien DjamentLAGA, Antoine TouzéLPP

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引用次数: 0

摘要

我们在从 Z/p 线性加法类别 A 到向量空间的所有函数类别中，以从 A 到向量空间的加法函数全子类中计算的 Ext 和 Tor 来计算某些 Ext 和 Tor 群。

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The homology of additive functors in prime characteristic

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 lineargroups.

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arXiv - MATH - K-Theory and Homology

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