What do Abelian categories form?

Given two finitely presentable Abelian categories and , we outline a construction of an Abelian category of functors from to , which has nice 2-categorical properties and provides an explicit model for a stable category of stable functors between the derived categories of and . The construction is a...

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Bibliographic Details
Published in:Russian mathematical surveys 2022-02, Vol.77 (1), p.1-45
Main Author: Kaledin, D. B.
Format: Article
Language:English
Subjects:
2-category
Abelian category
Hochschild cohomology
Mac Lane cohomology
stable category
Citations: Items that this one cites
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Summary:Given two finitely presentable Abelian categories and , we outline a construction of an Abelian category of functors from to , which has nice 2-categorical properties and provides an explicit model for a stable category of stable functors between the derived categories of and . The construction is absolute, so it makes it possible to recover not only Hochschild cohomology but also Mac Lane cohomology. Bibliography: 29 titles.
ISSN:0036-0279
1468-4829
DOI:10.1070/RM10044