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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Sokolov, V.V., Svinolupov, S.I. Deformations of nonassociative algebras and integrable differential equations. Acta Appl Math 41, 323–339 (1995). https://doi.org/10.1007/BF00996121
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DOI: https://doi.org/10.1007/BF00996121