Abstract
We use combinatorics of quivers and the corresponding surfaces to study maximal green sequences of minimal length for quivers of type A. We prove that such sequences have length n+ t, where n is the number of vertices and t is the number of 3-cycles in the quiver. Moreover, we develop a procedure that yields these minimal length maximal green sequences.
Original language | English |
---|---|
Pages (from-to) | 905-930 |
Number of pages | 26 |
Journal | Journal of Algebraic Combinatorics |
Volume | 44 |
Issue number | 4 |
DOIs | |
State | Published - Dec 1 2016 |
Bibliographical note
Publisher Copyright:© 2016, Springer Science+Business Media New York.
Keywords
- Cluster algebra
- Maximal green sequence
- Surface triangulation
ASJC Scopus subject areas
- Algebra and Number Theory
- Discrete Mathematics and Combinatorics