Quadratic Mappings and Clifford Algebras

  • Jacques Helmstetter
  • Artibano Micali

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Pages 53-103
  3. Pages 105-174
  4. Pages 391-438
  5. Back Matter
    Pages 489-504

About this book

Introduction

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.

Keywords

Clifford algebra Lipschitz group algebra hyperbolic space orthogonal group quadratic form quadratic mapping

Authors and affiliations

  • Jacques Helmstetter
    • 1
  • Artibano Micali
    • 2
  1. 1.Institut Fourier (Mathématiques)Université Grenoble ISaint-Martin d’Hères CedexFrance
  2. 2.Département des Sciences mathématiquesUniversité Montpellier IIMontpellier Cedex 5France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7643-8606-1
  • Copyright Information Birkhäuser Verlag AG 2008
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-8605-4
  • Online ISBN 978-3-7643-8606-1
  • About this book
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