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On the deformation theory of structure constants for associative algebras

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 Added by Boris Konopelchenko
 Publication date 2009
  fields Physics
and research's language is English




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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.



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