Symmetric subcategories, tilting modules and derived recollements
Representation Theory
2021-06-11 v1
Abstract
For any good tilting module over a ring , there exists an -symmetric subcategory of a module category such that the derived category of the endomorphism ring of is a recollement of the derived categories of and in the sense of Beilinson-Bernstein-Deligne. Thus the kernel of the total left-derived tensor functor induced by the tilting module is triangle equivalent to the derived category of .
Cite
@article{arxiv.2106.05514,
title = {Symmetric subcategories, tilting modules and derived recollements},
author = {Hongxing Chen and Changchang Xi},
journal= {arXiv preprint arXiv:2106.05514},
year = {2021}
}
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23 pages