Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups

  • Alexander J. Hahn

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Alexander J. Hahn
    Pages 1-2
  3. Alexander J. Hahn
    Pages 3-4
  4. Alexander J. Hahn
    Pages 5-17
  5. Alexander J. Hahn
    Pages 18-28
  6. Alexander J. Hahn
    Pages 29-44
  7. Alexander J. Hahn
    Pages 45-64
  8. Alexander J. Hahn
    Pages 65-76
  9. Alexander J. Hahn
    Pages 77-91
  10. Alexander J. Hahn
    Pages 92-105
  11. Alexander J. Hahn
    Pages 106-122
  12. Alexander J. Hahn
    Pages 123-136
  13. Alexander J. Hahn
    Pages 137-152
  14. Alexander J. Hahn
    Pages 153-171
  15. Alexander J. Hahn
    Pages 172-193
  16. Alexander J. Hahn
    Pages 194-222
  17. Alexander J. Hahn
    Pages 223-248
  18. Alexander J. Hahn
    Pages 249-265
  19. Back Matter
    Pages 267-287

About this book

Introduction

Quadratic Algebras, Clifford Algebras, and Arithmetic Forms introduces mathematicians to the large and dynamic area of algebras and forms over commutative rings. The book begins very elementary and progresses gradually in its degree of difficulty. Topics include the connection between quadratic algebras, Clifford algebras and quadratic forms, Brauer groups, the matrix theory of Clifford algebras over fields, Witt groups of quadratic and symmetric bilinear forms. Some of the new results included by the author concern the representation of Clifford algebras, the structure of Arf algebra in the free case, connections between the group of isomorphic classes of finitely generated projectives of rank one and arithmetic results about the quadratic Witt group.

Keywords

Arithmetic Forms Clifford Algebras K-theory Quadratic Algebras algebra clifford algebra lie algebra lie group manifold matrix polynomial quadratic form

Authors and affiliations

  • Alexander J. Hahn
    • 1
  1. 1.Department of MathematicsUniversity of Notre DameNotre DameUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-6311-8
  • Copyright Information Springer-Verlag New York 1994
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94110-3
  • Online ISBN 978-1-4684-6311-8
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book
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