English

The algebraic classification of nilpotent algebras

Rings and Algebras 2021-11-02 v1

Abstract

We give the complete algebraic classification of all complex 4-dimensional nilpotent algebras. The final list has 234 (parametric families of) isomorphism classes of algebras, 66 of which are new in the literature.

Keywords

Cite

@article{arxiv.2012.00525,
  title  = {The algebraic classification of nilpotent algebras},
  author = {Ivan Kaygorodov and Mykola Khrypchenko and Samuel A. Lopes},
  journal= {arXiv preprint arXiv:2012.00525},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2006.00734, arXiv:2001.00253

R2 v1 2026-06-23T20:38:27.142Z