"Periodicity of Y-systems"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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==expositions== | ==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. | * Keller, Bernhard. 2008. “Cluster Algebras, Quiver Representations and Triangulated Categories”. ArXiv e-print 0807.1960. http://arxiv.org/abs/0807.1960. | ||
2013년 12월 14일 (토) 11:05 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
- 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.