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Symmetric subcategories, tilting modules and derived recollements

Authors :
Chen, Hongxing
Xi, Changchang
Publication Year :
2021

Abstract

For any good tilting module $T$ over a ring $A$, there exists an $n$-symmetric subcategory $\mathscr{E}$ of a module category such that the derived category of the endomorphism ring of $T$ is a recollement of the derived categories of $\mathscr{E}$ and $A$ 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 $\mathscr{E}$.<br />Comment: 23 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2106.05514
Document Type :
Working Paper