English

Degenerations of Leibniz and anticommutative algebras

Rings and Algebras 2020-04-08 v1

Abstract

We describe all degenerations of three dimensional anticommutative algebras Acom3\mathfrak{Acom}_3 and of three dimensional Leibniz algebras Leib3\mathfrak{Leib}_3 over C.\mathbb{C}. In particular, we describe all irreducible components and rigid algebras in the corresponding varieties

Keywords

Cite

@article{arxiv.1808.00907,
  title  = {Degenerations of Leibniz and anticommutative algebras},
  author = {Nurlan Ismailov and Ivan Kaygorodov and Yury Volkov},
  journal= {arXiv preprint arXiv:1808.00907},
  year   = {2020}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1611.06454, arXiv:1707.08836, arXiv:1705.04346