Daniel Thompson - Division algebras that generalize Dickson semifields

cm:9504 - Communications in Mathematics, October 11, 2020, Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto) - https://doi.org/10.2478/cm-2020-0012
Division algebras that generalize Dickson semifieldsArticle

Authors: Daniel Thompson

    We generalize Knuth's construction of Case I semifields quadratic over a weak nucleus, also known as generalized Dickson semifields, by doubling of central simple algebras. We thus obtain division algebras of dimension 2s 2 by doubling central division algebras of degree s. Results on isomorphisms and automorphisms of these algebras are obtained in certain cases.

    https://doi.org/10.2478/cm-2020-0012
    Source: HAL:hal-03664994v1
    Volume: Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)
    Published on: October 11, 2020
    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)

    Publications

    Has review
    • 1 zbMATH Open

    Share and export

    Consultation statistics

    This page has been seen 437 times.
    This article's PDF has been downloaded 98 times.