arxiv: 1009.5339 · v2 · pith:5JBTDNZCnew · 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.

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Classification of nilpotent associative algebras of small dimension

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