English

The algebraic classification of nilpotent commutative algebras

Rings and Algebras 2022-04-04 v1

Abstract

This paper is devoted to the complete algebraic classification of complex 55-dimensional nilpotent commutative algebras. Our method of classification is based on the standard method of classification of central extensions of smaller nilpotent commutative algebras and the recently obtained classification of complex 55-dimensional nilpotent commutative CD\mathfrak{CD}-algebras.

Keywords

Cite

@article{arxiv.2111.00785,
  title  = {The algebraic classification of nilpotent commutative algebras},
  author = {Doston Jumaniyozov and Ivan Kaygorodov and Abror Khudoyberdiyev},
  journal= {arXiv preprint arXiv:2111.00785},
  year   = {2022}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2109.00483; text overlap with arXiv:2106.00336, arXiv:2004.03598