On the deformation theory of structure constants for associative algebras

2008/11/28 by Konopelchenko, B. G.
#16A58 #37K10 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.0811.4725

Abstract

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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