Grassmannians and Cluster Algebras
Grassmannians and Cluster Algebras
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DOI：
10.1112/s0024611505015571
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发表时间：
2003-11
影响因子：
1.8
通讯作者：
J. Scott
中科院分区：
文献类型：
--
作者：
J. Scott
本文遵循S. Fomin和A. Zelevinsky等，并证明了Grassmannian G（k，n）的齐次坐标环是几何型的簇代数.这些格拉斯曼是有限集群类型的识别和他们的集群变量的几何解释在CP2的点的配置。2000年数学学科分类22E46，05Exx。
This paper follows the program of study initiated by S. Fomin and A. Zelevinsky, and demonstrates that the homogeneous coordinate ring of the Grassmannian G(k, n) is a cluster algebra of geometric type. Those Grassmannians that are of finite cluster type are identified and their cluster variables are interpreted geometrically in terms of configurations of points in C P2. 2000 Mathematics Subject Classification 22E46, 05Exx.