Back to Search
Start Over
Pre-weight structures, pseudo-identities and canonical derived equivalences
- Publication Year :
- 2023
-
Abstract
- We introduce the notion of pre-weight structure on a triangulated category and study the corresponding pseudo-identities. We propose the notion of canonical derived equivalence between algebras that are not necessarily flat, which is associated to a tilting complex. In the flat situation, canonical derived equivalences coincide with standard derived equivalences in the sense of Rickard. We prove that any derived equivalence starting from a hereditary algebra is canonical. The key tool is a general factorization theorem: any derived equivalence is uniquely factorized as a pseudo-identity followed by a canonical derived equivalence.<br />Comment: Any comments are welcome
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2311.08044
- Document Type :
- Working Paper