Periodicity of Y-systems
imported>Pythagoras0님의 2015년 7월 13일 (월) 03:44 판 (→articles)
introduction
- periodicity (Keller) : $Y_{\mathbf{i}}(u+2(h+h'))=Y_{\mathbf{i}}(u)$
- half-periodicity : $Y_{\mathbf{i}}(u+(h+h'))=Y_{\sigma(\mathbf{i})}(u)$ where $\sigma$ is the involution of the pair of Dynkin diagram
expositions
- Volkov, 2010 Periodicity conjecture for Y-systems
- Keller, Bernhard. 2008. “Cluster Algebras, Quiver Representations and Triangulated Categories”. ArXiv e-print 0807.1960. http://arxiv.org/abs/0807.1960.
articles
- Kase, Ryoichi. “Remarks on Lengths of Maximal Green Sequences for Quivers of Type $\tilde{A}_{n,1}$.” arXiv:1507.02852 [math], July 10, 2015. http://arxiv.org/abs/1507.02852.
- Muller, Greg. “The Existence of a Maximal Green Sequence Is Not Invariant under Quiver Mutation.” arXiv:1503.04675 [math], March 16, 2015. http://arxiv.org/abs/1503.04675.