Quadratic Mappings and Clifford Algebras

• Main Authors: Helmstetter, Jacques (Author), Micali, Artibano (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2008.
• Subjects: Mathematics.; Algebra.

After a classical presentation of quadratic mappings and Clifford algebras over arbitrary rings (commutative, associative, with unit), other topics involve more original methods: interior multiplications allow an effective treatment of deformations of Clifford algebras; the relations between automor...

Table of Contents:

• Algebraic Preliminaries
• Quadratic Mappings
• Clifford Algebras
• Comultiplications. Exponentials. Deformations
• Orthogonal Groups and Lipschitz Groups
• Further Algebraic Developments
• Hyperbolic Spaces
• Complements about Witt Rings and Other Topics.