The algebraic and geometric classification of nilpotent bicommutative algebras

Ivan Kaygorodov; María Pilar Paez Guillán; Vasily Voronin

doi:10.1007/s10468-019-09944-x

The algebraic and geometric classification of nilpotent bicommutative algebras

Rings and Algebras 2020-04-03 v1

Authors: Ivan Kaygorodov , María Pilar Paez Guillán , Vasily Voronin

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Abstract

We classify the $4$ -dimensional nilpotent bicommutative algebras over $\mathbb C$ from both algebraic and geometric approaches.

Keywords

nilpotent bicommutative algebras algebraic classification geometric classification dimension 4 complex field

Cite

@article{arxiv.1903.08997,
  title  = {The algebraic and geometric classification of nilpotent bicommutative algebras},
  author = {Ivan Kaygorodov and María Pilar Paez Guillán and Vasily Voronin},
  journal= {arXiv preprint arXiv:1903.08997},
  year   = {2020}
}