Real Spinorial Groups A Short Mathematical Introduction /

• Main Author: Xambó-Descamps, Sebastià (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Geometry.; Group theory.; Physics.; Group Theory and Generalizations.; Mathematical Methods in Physics.

This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry. After a concise mathematical introduction, it offers an axiomat...

Table of Contents:

• Chapter 1- Mathematical background
• Chapter 2- Grassmann algebra
• Chapter 3- Geometric Algebra
• Chapter 4- Orthogonal geometry with GA
• Chapter 5- Zooming in on rotor groups
• Chapter 6- Postfaces
• References.