广义子式与张量不变量
Generalized Minors and Tensor Invariants
摘要：
Berenstein，Fomin和Zelevinsky定义的功能双Bruhat细胞，他们称之为广义未成年人。通过将某些双Bruhat细胞与旗帜的配置空间联系起来，我们给出了这些广义未成年人作为张量不变量的公式。这使我们能够验证某些重量身份。然后，张量不变量的权重可以用于在三个标志的配置空间上构造集群结构的权重。我们还证明了一个相反的说法-张量不变量的权重可以从结构的结构计算。权恒等式是重要的，因为它们是有框局部系统的模空间上簇结构存在的必要条件。
英文摘要：
Berenstein, Fomin and Zelevinsky defined functions on double Bruhat cells which they called generalized minors. By relating certain double Bruhat cells to configuration spaces of flags, we give formulas for these generalized minors as tensor invariants. This allows us to verify certain weight identities. The weights of the tensor invariants can then be used to construct the quiver for the cluster structure on the configuration space of three flags. We also show a converse statement--that the weights of tensor invariants can by computed from the structure of the quiver. The weight identities are important because they are necessary for the existence of cluster structures on the moduli space of framed local systems.
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