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

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imported>Pythagoras0
imported>Pythagoras0
8번째 줄: 8번째 줄:
 
* Volkov, 2010 [https://docs.google.com/file/d/0B8XXo8Tve1cxX29mNDlHaXJWNDA/edit Periodicity conjecture for Y-systems]
 
* 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.
 
* Keller, Bernhard. 2008. “Cluster Algebras, Quiver Representations and Triangulated Categories”. ArXiv e-print 0807.1960. http://arxiv.org/abs/0807.1960.
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==articles==
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* 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.

2015년 3월 17일 (화) 14:37 판

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


articles

  • 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.