Classification of nilpotent associative algebras of small dimension

Willem A. de Graaf

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Classification of nilpotent associative algebras of small dimension

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arxiv 1009.5339 v2 pith:5JBTDNZC submitted 2010-09-27 math.RA

Classification of nilpotent associative algebras of small dimension

Willem A. de Graaf This is my paper

classification math.RA

keywords algebrasnilpotentassociativedimensionanalogouscentralclassificationclassify

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We classify nilpotent associative algebras of dimensions up to 4 over any field. This is done by constructing the nilpotent associative algebras as central extensions of algebras of smaller dimension, analogous to methods known for nilpotent Lie algebras.

Classification of nilpotent associative algebras of small dimension

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