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arXiv · 1603.00510

On Pl\"ucker Equations Characterizing Grassmann Cones

Letterio Gatto·Parham Salehyan
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Abstract

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 Pl\"ucker 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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Letterio Gatto, Parham Salehyan. 2016-03-01. On Pl\"ucker Equations Characterizing Grassmann Cones. https://doi.org/10.4171/182-1/5

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