Quadratic mappings and Clifford algebras 1st Edition by Jacques Helmstetter, Artibano Micali 9783764386061 3764386061

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Product details:

ISBN 10: 3764386061

ISBN 13: 9783764386061

Author: Jacques Helmstetter, Artibano Micali

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

Table of contents:

Chapter 1: Algebraic Preliminaries
Chapter 2: Quadratic Mappings
Chapter 3: Clifford Algebras
Chapter 4: Comultiplications. Exponentials. Deformations
Chapter 5: Orthogonal Groups and Lipschitz Groups
Chapter 6: Further Algebraic Developments
Chapter 7: Hyperbolic Spaces
Chapter 8: Complements about Witt Rings and Other Topics

 

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Tags: Jacques Helmstetter, Artibano Micali, Quadratic, mappings