Archivio Istituzionale della RicercaPolynomial solutions to the KP hierarchy are known to be parametrized by a cone over an infinite-dimensional Grassmann variety. Using the notion of Schubert derivations on a Grassmann algebra, we encode the classical Pl"ucker equations of Grassmannians of r-dimensional subspaces in a formula whose limit for r→∞ coincides with the KP hierarchy phrased in terms of vertex operators.
On the Pluecker equations characterizing Grassmann cones / Gatto, Letterio; Salehyan, Parham. - STAMPA. - impanga 15:(2018), pp. 97-125. (Intervento presentato al convegno IMPANGA 15 tenutosi a Bedlewo, Polonia nel 12-18 Aprile 2015) [10.4171/182].
On the Pluecker equations characterizing Grassmann cones
Letterio Gatto;
2018
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 derivations on a Grassmann algebra, we encode the classical Pl"ucker equations of Grassmannians of r-dimensional subspaces in a formula whose limit for r→∞ coincides with the KP hierarchy phrased in terms of vertex operators.
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https://hdl.handle.net/11583/2714802