On the Deformation Theory of Structure Constants for Associative Algebras

B. G. Konopelchenko

Advances in Mathematical Physics, 2010, vol. 2010, 1-21

Abstract:

An algebraic scheme for constructing deformations of structure constants for associative algebras generated by 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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:389091

DOI: 10.1155/2010/389091

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