Overview
- The study of Clifford algebras leads to sophisticated theories involving noncommutative algebras over a ring, e.g., Azumaya algebras, Morita theory, separability
- Provides a self-contained introduction to commutative algebra
- Prerequisites are only elementary algebra and linear and multilinear algebra over fields (and a bit over rings)
- Includes supplementary material: sn.pub/extras
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About this book
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 automorphisms of quadratic forms and Clifford algebras are based on the concept of the Lipschitz monoid, from which several groups are derived; and the Cartan-Chevalley theory of hyperbolic spaces becomes much more general, precise and effective.
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Table of contents (8 chapters)
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Bibliographic Information
Book Title: Quadratic Mappings and Clifford Algebras
Authors: Jacques Helmstetter, Artibano Micali
DOI: https://doi.org/10.1007/978-3-7643-8606-1
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2008
Hardcover ISBN: 978-3-7643-8605-4Published: 17 April 2008
eBook ISBN: 978-3-7643-8606-1Published: 24 May 2008
Edition Number: 1
Number of Pages: XIII, 504
Topics: Algebra