Unified computational approach to nilpotent algebra classification problems

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.

Domaines: Mathématiques [math]

Shirali Kadyrov, Farukh Mashurov. Unified computational approach to nilpotent algebra classification problems. Communications in Mathematics, 2021, Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga) (2), pp.215 - 226. ⟨10.2478/cm-2021-0019⟩. ⟨hal-03665024⟩