The algebraic and geometric classification of nilpotent anticommutative algebras

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Kaygorodov, I (Author) Other; Khrypchenko, M (Author) Other; Samuel A Lopes (Author) FCUP

Journal

Title: Journal of Pure and Applied Algebra

Vol. 224

ISSN: 0022-4049

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 27 Citations

Scopus - 29 Citations

Other information

Authenticus ID: P-00R-S14

DOI: 10.1016/j.jpaa.2020.106337

Abstract (EN): We give algebraic and geometric classifications of 6-dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are 14 one-parameter families of 6-dimensional nilpotent anticommutative algebras, complemented by 130 additional isomorphism classes. The corresponding geometric variety is irreducible and determined by the Zariski closure of a one-parameter family of algebras. In particular, there are no rigid 6-dimensional complex nilpotent anticommutative algebras.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 32