On the deformation theory of structure constants for associative algebras

Details On the deformation theory of structure constants for associative algebras On the deformation theory of structure constants for associative algebras

2008-11-28

arxiv.org/abs/0811.4725v2

Mathematics

Rings and Algebras

minor corrections and references added

Scientific paper

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.

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