Tilting mutation of weakly symmetric algebras and stable equivalence.
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Publication:742940
DOI10.1007/s10468-013-9422-2zbMath1327.16007arXiv1110.1679OpenAlexW2025635383MaRDI QIDQ742940
Publication date: 19 September 2014
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.1679
weakly symmetric algebrasderived equivalencestriangulated categoriessimple modulestilting complexesstable equivalencesself-injective algebras of finite representation typequivers with relationsquiver mutationstilting mutations
Module categories in associative algebras (16D90) Representations of quivers and partially ordered sets (16G20) Derived categories and associative algebras (16E35)
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Cites Work
- Unnamed Item
- Gradings and derived categories.
- Derived equivalences from mutations of quivers with potential
- Mutations vs. Seiberg duality.
- Quivers with potentials and their representations. I: Mutations.
- Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type
- The derived equivalence classification of representation-finite selfinjective algebras
- Derived equivalent tame blocks
- On a lift of an individual stable equivalence to a standard derived equivalence for representation-finite self-injective algebras.
- Derived categories and stable equivalence
- Torsion pairs and simple-minded systems in triangulated categories
- Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras.
- SIMPLE-MINDED SYSTEMS IN STABLE MODULE CATEGORIES
- Derived equivalences and stable equivalences of Morita type, I
- Morita Theory for Derived Categories
- Algebras stably equivalent to selfinjective special biserial algebras
- Derived Equivalences As Derived Functors
- A construction of derived equivalent pairs of symmetric algebras
- Mutating Brauer trees
