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On Plücker Equations Characterizing Grassmann Cones (1603.00510v2)
Published 1 Mar 2016 in math.AG, math-ph, and math.MP
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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