Sökning: "Clifford algebras"

Hittade 2 uppsatser innehållade orden Clifford algebras.

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. Spin Representations, Clifford Algebras and Spinors

   Kandidat-uppsats, Uppsala universitet/Matematiska institutionen

   Författare :Simon Wogel; [2023]
   Nyckelord :Algebras; Clifford algebras; Spinors; Representations; Lie algebras; Lie groups; Algebror; Cliffordalgebror; Spinorer; Representationer; Liealgebror; Liegrupper;

   Sammanfattning : We begin by giving some theoretical background to the underlying concepts of spin representations and spinors. This is done from the perspective of Lie groups and Lie algebras. In particular, we discuss the functionality of Clifford algebras in the determination of the double-covering spin groups. LÄS MER