On splendid derived and stable equivalences between blocks and finite groups
DOI10.1006/jabr.2001.8812zbMath0995.20002OpenAlexW2071623521MaRDI QIDQ5945141
Publication date: 21 October 2002
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.2001.8812
bimodulesMorita equivalencesindecomposable direct summandsfinite groupsdefect groupsblocksprimitive idempotentsblock idempotentssymmetric algebrasbounded complexeslocal pointsRickard tilting complexessource idempotentssplendid tilting complexesstable equivalences of Morita type
Module categories in associative algebras (16D90) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Syzygies, resolutions, complexes in associative algebras (16E05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local methods in block theory
- Zur Darstellungstheorie der Gruppen endlicher Ordnung. I, II
- Local fusions in block source algebras
- Nilpotent blocks and their source algebras
- Pointed groups and construction of modules
- Characters and local structure in G-algebras
- Pointed groups and construction of characters
- On the local structure of Morita and Rickard equivalences between Brauer blocks
- The source algebras of blocks with a Klein four defect group
- Derived equivalences for group rings
- Derived categories and stable equivalence
- The isomorphism problem for cyclic blocks and their source algebras
- Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
- Morita Theory for Derived Categories
- Splendid Derived Equivalences for Blocks of Finite p -Solvable Groups
- Derived Equivalences As Derived Functors
- Splendid Equivalences: Derived Categories and Permutation Modules