Sökning: "octonion"

Hittade 3 uppsatser innehållade ordet octonion.

  1. 1. On Geometric Number

    Kandidat-uppsats, Uppsala universitet/Analys och partiella differentialekvationer

    Författare :Petter Gunnarsson; [2023]
    Nyckelord :clifford algebra; hypercomplex number; octonion;

    Sammanfattning : This is an overview of geometric algebras in dimensions 0-4 from the perspective of the concept of number itself. It is developed from a historic viewpoint and investigates and develops a pedagogic approach emphasizing the geometric aspects of the subject. LÄS MER

  3. 2. Octonion Algebras over Schemes and the Equivalence of Isotopes and Isometric Quadratic Forms

    Master-uppsats, Uppsala universitet/Matematiska institutionen

    Författare :Victor Hildebrandsson; [2023]
    Nyckelord :Algebraic geometry; octonion algebras;

    Sammanfattning : Octonion algebras are certain algebras with a multiplicative quadratic form. In 2019, Alsaody and Gille showed that, for octonion algebras over unital commutative rings, there is an equivalence between isotopes and isometric quadratic forms. LÄS MER

  4. 3. Exceptional Groups and their Generators

    Master-uppsats, Uppsala universitet/Algebra, logik och representationsteori

    Författare :Hassan Ali; [2022]
    Nyckelord :;

    Sammanfattning : Exceptional algebraic groups are divided into five types, namely G2, F4,E6, E7 and E8. In this thesis we discuss G2, F4 and E6. We discuss the exceptionalalgebraic groups via octonion algebras and Jordan algebras. We firstconsider the groups of type G2. LÄS MER