Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type
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Publication:1279818
DOI10.1006/jabr.1998.7544zbMath0932.16009OpenAlexW1977069830MaRDI QIDQ1279818
Publication date: 13 March 2000
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/99cabcbbc1cd8b79e9483943450e91e352ef7fe5
derived equivalencessymmetric algebrastamenessstable Auslander-Reiten quiversrepresentation typesgraph algebrasdihedral algebrasgraph orderssemidihedral algebras
Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Modular representations and characters (20C20)
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Cites Work
- Algebras and quaternion defect groups. I, II
- Blocks of tame representation type and related algebras
- A derived equivalence for blocks with dihedral defect groups
- On degenerations of tame and wild algebras
- Derived equivalent tame blocks
- Stable equivalence preserves representation type
- Derived categories and stable equivalence
- Morita Theory for Derived Categories
- Derived Equivalences As Derived Functors
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