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The moduli space of 4-dimensional nilpotent complex associative algebras

Rings and Algebras 2013-09-24 v1

Abstract

In this paper, we study 4-dimensional nilpotent complex associative algebras. This is a continuation of the study of the moduli space of 4-dimensional algebras. The non-nilpotent algeras were analyzed in an earlier paper. Even though there are only 15 families of nilpotent 4-dimensional algebras, the complexity of their behaviour warrented a separate study, which we give here.

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Cite

@article{arxiv.1309.5770,
  title  = {The moduli space of 4-dimensional nilpotent complex associative algebras},
  author = {Alice Fialowski and Michael Penkava},
  journal= {arXiv preprint arXiv:1309.5770},
  year   = {2013}
}

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17 pages