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.
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© 1995 Kluwer Academic Publishers
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Sokolov, V.V., Svinolupov, S.I. (1995). Deformations of Nonassociative Algebras and Integrable Differential Equations. In: Kersten, P.H.M., Krasil’Shchik, I.S. (eds) Geometric and Algebraic Structures in Differential Equations. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0179-7_20
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DOI: https://doi.org/10.1007/978-94-009-0179-7_20
Publisher Name: Springer, Dordrecht
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