Back to Search
Start Over
Symmetric subcategories, tilting modules and derived recollements
- 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