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VOL. 16 | 1988 Supersymmetric Extension of the Kadomtsev–Petviashvili Hierarchy and the Universal Super Grassmann Manifold
Kimio Ueno, Hirofumi Yamada

Editor(s) M. Jimbo, T. Miwa, A. Tsuchiya

Abstract

A supersymmetric extension of the Kadomtsev–Petviashvili hierarchy (SKP hierarchy) is proposed. It is shown that the solution space is identical with the universal super Grassmann manifold. An explicit formula of a solution to the SKP hierarchy is presented as a quotient of superdeterminants. Our arguments are based upon algebraic investigations of the structure of a linear supersymmetric differential equation.

Information

Published: 1 January 1988
First available in Project Euclid: 17 June 2018

zbMATH: 0675.58045
MathSciNet: MR974403

Digital Object Identifier: 10.2969/aspm/01610373

Rights: Copyright © 1988 Mathematical Society of Japan

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