Clifford Algebras and Lie Theory

• Main Author: Meinrenken, Eckhard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 58
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Topological groups.; Lie groups.; Mathematical physics.; Differential geometry.; Physics.; Topological Groups, Lie Groups.; Associative Rings and Algebras.; Mathematical Applications in the Physical Sciences.; Differential Geometry.; Mathematical Methods in Physics.

This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin gro...