The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator

We give the classification of all n-dimensional anticommutative complex algebras with (n − 3)-dimensional annihilator. Namely, we describe all central extensions of all 3-dimensional anticommutative complex algebras.

Saved in:
Bibliographic Details
Published in:Communications in algebra 2019-01, Vol.47 (1), p.173-181
Main Authors: Calderón, Antonio Jesús, Fernández Ouaridi, Amir, Kaygorodov, Ivan
Format: Article
Language:English
Subjects:
Algebra
Anticommutative algebra
central extension
Classification
classification problem
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give the classification of all n-dimensional anticommutative complex algebras with (n − 3)-dimensional annihilator. Namely, we describe all central extensions of all 3-dimensional anticommutative complex algebras.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2018.1468909