On the deformation theory of structure constants for associative algebras

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Algebraic scheme for constructing deformations of structure constants for associative algebras generated by a deformation driving algebras (DDAs) is discussed. An ideal of left divisors of zero plays a central role in this construction. Deformations of associative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable systems are studied.
minor corrections and references added

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Rings and Algebras, Exactly Solvable and Integrable Systems, 16A58, 37K10

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http://salesiana.dossiersoluciones.com/handle/123456789/229864

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.4725
 http://arxiv.org/abs/0811.4725

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arXiv