关于Grassmann锥的Plücker方程
On Plücker Equations Characterizing Grassmann Cones
摘要：
多项式解决方案的KP层次是已知的参数化锥上的无限维格拉斯曼品种。利用Grassmann代数上Schubert导子的概念，我们将r维子空间Grassmannian的经典Plücker方程编码为一个公式，该公式的$r\rightarrow\infty$的极限与用顶点算子表示的KP族一致.
英文摘要：
Polynomial solutions to the KP hierarchy are known to be parametrized by a cone over an infinite-dimensional Grassmann variety. Using the notion of Schubert derivation on a Grassmann algebra, we encode the classical Plücker equations of Grassmannians of r-dimensional subspaces in a formula whose limit for $r\rightarrow\infty$ coincides with the KP hierarchy phrased in terms of vertex operators.
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