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Deformations of nonassociative algebras and integrable differential equations (1995)

Sokolov, V. V. ; Svinolupov, S. I.

Springer

Acta applicandae mathematicae 41 (1995), S. 323-339

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ISSN: 1572-9036

Keywords: 16S80 ; 17A30 ; 35Q58 ; 53B05 ; Jordan algebras ; left-symmetric algebras ; Lie algebras ; deformation of nonassociative algebras ; generalized chiral field equations

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00996121

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