Super Toda Lattices

E. D. Van Der Lende and H. G. J. Pijls
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E. D. Van Der Lende: University of Amsterdam, Department of Mathematics and Computer Science
H. G. J. Pijls: University of Amsterdam, Department of Mathematics and Computer Science

A chapter in Geometric and Algebraic Structures in Differential Equations, 1995, pp 297-298 from Springer

Abstract: Abstract The Lax formalism described by Adler [1] and Oevel and Ragnisco [2] can be generalized to the case where anticommuting variables are involved. In this contribution we apply this super Lax formalism to the Lie superalgebra g = Mat(m,n,Λ) to derive a superversion of the Toda lattice. Here Λ is a Grassmann algebra with some unspecified number of odd generators. We only give an outline of this construction and refer to [3] for all the details.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0179-7_17

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DOI: 10.1007/978-94-009-0179-7_17

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