Unified computational approach to nilpotent algebra classification problems

Shirali Kadyrov; Farukh Mashurov

doi:10.2478/cm-2021-0019

Shirali Kadyrov ; Farukh Mashurov - Unified computational approach to nilpotent algebra classification problems

cm:9538 - Communications in Mathematics, July 15, 2021, Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga) - https://doi.org/10.2478/cm-2021-0019

Unified computational approach to nilpotent algebra classification problemsArticle

Authors: Shirali Kadyrov ; Farukh Mashurov

In this article, we provide an algorithm with Wolfram Mathematica code that gives a unified computational power in classification of finite dimensional nilpotent algebras using Skjelbred-Sund method. To illustrate the code, we obtain new finite dimensional Moufang algebras.

https://doi.org/10.2478/cm-2021-0019

Source: HAL:hal-03665024v1

Volume: Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga)

Published on: July 15, 2021

Imported on: May 11, 2022

Keywords: General Mathematics,[MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)