Thick subcategories for quiver representations / Nikolay Dimitrov Dichev. 2009
Inhalt
- Abstract
- Zusammenfassung
- Acknowledgements
- Introduction
- Thick subcategories for cyclic quivers
- Cyclic quivers
- Orthogonal sequences and thick subcategories
- Cotilting, support-tilting modules and thick subcategories
- Number of thick subcategories
- Lattice of thick subcategories
- Nakayama algebras
- Thick subcategories for hereditary algebras
- Thick subcategories generated by preprojective modules
- Thick subcategories for Euclidean quivers
- Thick subcategories are exact abelian
- Exact abelian extension closed subcategories for tilted algebras
- Torsion pairs, tilting modules and tilted algebras
- Exact abelian extension closed subcategories for tilted algebras
- Appendix
- Basic and auxiliary results
- Quivers and their representations
- Hereditary algebras
- The Auslander-Reiten quiver
- Two homological facts
- Bibliography