Open Access
VOL. 16 | 1988 Supersymmetric Extension of the Kadomtsev–Petviashvili Hierarchy and the Universal Super Grassmann Manifold
Chapter Author(s) Kimio Ueno, Hirofumi Yamada
Editor(s) M. Jimbo, T. Miwa, A. Tsuchiya
Adv. Stud. Pure Math., 1988: 373-426 (1988) DOI: 10.2969/aspm/01610373

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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