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arXiv · 1009.5339

Classification of nilpotent associative algebras of small dimension

Willem A. de Graaf
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Abstract

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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Willem A. de Graaf. 2017-05-22. Classification of nilpotent associative algebras of small dimension. https://arxiv.org/abs/1009.5339

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