Sökning: "algebras"

Visar resultat 1 - 5 av 64 uppsatser innehållade ordet algebras.

  1. 1. Examples of G-Hom-Associative Algebras

    Master-uppsats, Mälardalens universitet/Akademin för utbildning, kultur och kommunikation

    Författare :Felicia Modin; [2024]
    Nyckelord :G-hom-associative algebra; hom-associative algebra; hom-Lie admissible algebra;

    Sammanfattning : In this thesis we look at hom-associative algebras (which turn out to be exactly the G1-hom-associative algebras), by, in two and three dimensions, trying to find the structure constants for which an algebra becomes hom-associative when the homomorphism 𝛼 is defined as different matrix units. These algebras are also hom-Lie admissible (or G6-hom-associative, which turn out to be the same thing) with a commutator, so we also find the commutator for each of these hom-Lie admissible algebras. LÄS MER

  3. 2. 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

  4. 3. Constructing Subalgebras of K[x] Using the Minimal Polynomial

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Marianne Ljunggren; [2023]
    Nyckelord :Algebra; Subalgebra; Polynomial Algebra; Minimal Polynomial; Mathematics and Statistics;

    Sammanfattning : In this report we will be working with subalgebras A of finite codimension in K[x]. It is known that such subalgebras can be expressed using a set of linear conditions evaluated at a finite set of points called the spectrum elements of A. LÄS MER

  5. 4. 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

  7. 5. The Ext-Algebra of Standard Modules of Bound Twisted Double Incidence Algebras

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

    Författare :Mika Norlén Jäderberg; [2023]
    Nyckelord :Algebras; Finite-dimensional; Partially ordered sets; Modules; Quasi-hereditary; Ext-algebra; Schur algebra; Quiver; Path algebra; Categories; Morita equivalence; Yoneda product; Standard module; Homological algebra; Cohomology; Anick Chains;

    Sammanfattning : Quasi-hereditary algebras are an important class of algebras with many appli-cations in representation theory, most notably the representation theory of semi-simple complex Lie-algebras. Such algebras sometimes admit an exact Borel sub-algebra, that is a subalgebra satisfying similar formal properties to the Borel sub-algebras from Lie theory. LÄS MER