The algebraic and geometric classification of nilpotent left-symmetric algebras
Rings and Algebras
2021-06-02 v1
Abstract
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional nilpotent left-symmetric algebras. The corresponding geometric variety has dimension and decomposes into irreducible components determined by the Zariski closures of two one-parameter families of algebras and a two-parameter family of algebras (see Theorem B). In particular, there are no rigid -dimensional complex nilpotent left symmetric algebras.
Keywords
Cite
@article{arxiv.2106.00336,
title = {The algebraic and geometric classification of nilpotent left-symmetric algebras},
author = {Jobir Adashev and Ivan Kaygorodov and Abror Khudoyberdiyev and Aloberdi Sattarov},
journal= {arXiv preprint arXiv:2106.00336},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1912.02691, arXiv:1812.01442, arXiv:2004.03598, arXiv:1902.01706