Deformations of Nonassociative Algebras and Integrable Differential Equations

V. V. Sokolov and S. I. Svinolupov
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V. V. Sokolov: Mathematical Institute of Ufa Center of Russian Academy of Sciences
S. I. Svinolupov: Mathematical Institute of Ufa Center of Russian Academy of Sciences

A chapter in Geometric and Algebraic Structures in Differential Equations, 1995, pp 323-339 from Springer

Abstract: Abstract A new class of nonassociative algebras related to integrable PDE’s and ODE’s is introduced. These algebras can be regarded as a noncommutative generalization of Jordan algebras. Their deformations are investigated. Relationships between such algebras and graded Lie algebras are established.

Keywords: Jordan algebras; left-symmetric algebras; Lie algebras; deformation of nonassociative algebras; generalized chiral field equations (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0179-7_20

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DOI: 10.1007/978-94-009-0179-7_20

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