Lax equations on Lie superalgebras-Reference-Cited by-同舟云学术

Lax equations on Lie superalgebras

Published:2024-08-07 Issue:5 Volume:0 Page:5-10
ISSN:1994-5655
Container-title:Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences
language:en
Short-container-title:

Author:

Karabanov A.¹

Affiliation:

1. Cryogenic Ltd

Abstract

It is demonstrated that the standard construction of Lax equations on Lie algebras can be extended to Lie superalgebras, with the even subspace carrying the usual Lax equations. The extended equations inherit the existence of the canonical trace polynomial integrals of motion. An extra set of integrals exists in the odd subspace, with a nontrivial homological structure of the orbit space. This establishes a curious algebraic link between integrable evolution equations, supersymmetry and the deformation theory.

Publisher

Komi SC UB RAS

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