Gellert, Florian: Sequential structures in cluster algebras and representation theory. 2017
Inhalt
- Introduction
- Preliminaries
- Cluster algebras
- Green sequences
- Definitions and fundamental results
- Permissible vertices
- The oriented pentatope
- Periodicities in the oriented exchange graph
- Antichains in posets of quiver representations
- Conclusion and Outlook
- Bibliography
- Appendix
- Cyclic quivers with maximal green sequences
- Extended exchange matrices for proofs in Section 4.3
- Extended exchange matrices for the proof of Lemma 4.3.6
- Extended exchange matrices for mutations of Qtrisource
- Extended exchange matrices for mutations of Qtrisink
- B- and C-matrices for the proof of Theorem 4.3.9
- B- and C-matrices for the proof of Theorem 4.3.11
- Code