The geometric classification of nilpotent $\mathfrak{CD}$-algebras
Rings and Algebras
2020-07-06 v1
Abstract
We give a geometric classification of complex -dimensional nilpotent -algebras. The corresponding geometric variety has dimension 18 and decomposes into irreducible components determined by the Zariski closures of a two-parameter family of algebras and a four-parameter family of algebras (see Theorem 2). In particular, there are no rigid -dimensional complex nilpotent -algebras.
Cite
@article{arxiv.2007.01829,
title = {The geometric classification of nilpotent $\mathfrak{CD}$-algebras},
author = {Ivan Kaygorodov and Mykola Khrypchenko},
journal= {arXiv preprint arXiv:2007.01829},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2001.00253, arXiv:1905.05361; text overlap with arXiv:2006.00734