Classification of Novikov algebras

Dietrich Burde; Willem A. de Graaf

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arxiv 1106.5954 v1 pith:WDFQVKD2 submitted 2011-06-29 math.RA

Classification of Novikov algebras

Dietrich Burde , Willem A. de Graaf This is my paper

classification math.RA

keywords algebrasnovikovclassificationalgebraassociateddimensionalassociativeclassifying

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We describe a method for classifying the Novikov algebras with a given associated Lie algebra. Subsequently we give the classification of the Novikov algebras of dimension 3 over R and C, as well as the classification of the 4-dimensional Novikov algebras over C whose associated Lie algebra is nilpotent. In particular this includes a list of all 4-dimensional commutative associative algebras over C.

Classification of Novikov algebras

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