"Periodicity of Y-systems"의 두 판 사이의 차이

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==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 [https://docs.google.com/file/d/0B8XXo8Tve1cxX29mNDlHaXJWNDA/edit 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==
 
* Pavel Galashin, Pavlo Pylyavskyy, The classification of Zamolodchikov periodic quivers, http://arxiv.org/abs/1603.03942v1
 
* Daping Weng, Donaldson-Thomas Transformation of Grassmannian, http://arxiv.org/abs/1603.00972v1
 
* Pylyavskyy, Pavlo. “Zamolodchikov Integrability via Rings of Invariants.” arXiv:1506.05378 [math], June 17, 2015. http://arxiv.org/abs/1506.05378.
 
* 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.
 

2020년 11월 12일 (목) 21:06 판