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 problems

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)

    Linked publications - datasets - softwares

    Source : ScholeXplorer IsRelatedTo ARXIV 1401.3992
    Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.laa.2016.01.015
    Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1401.3992
    • 10.1016/j.laa.2016.01.015
    • 10.48550/arxiv.1401.3992
    • 1401.3992
    Classification of five-dimensional nilpotent Jordan algebras

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