Skip to main content
SpringerLink
Log in
Book cover

Octonions, Jordan Algebras and Exceptional Groups

  • Book
  • © 2000

Overview

Authors:
  1. Tonny A. Springer

    1. Mathematisch Instituut, Utrecht, The Netherlands

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Ferdinand D. Veldkamp
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Springer Monographs in Mathematics (SMM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Composition Algebras

    • Tonny A. Springer, Ferdinand D. Veldkamp
    Pages 1-23

  3. The Automorphism Group of an Octonion Algebra

    • Tonny A. Springer, Ferdinand D. Veldkamp
    Pages 25-36

  4. Triality

    • Tonny A. Springer, Ferdinand D. Veldkamp
    Pages 37-67

  5. Twisted Composition Algebras

    • Tonny A. Springer, Ferdinand D. Veldkamp
    Pages 69-115

  6. J-algebras and Albert Algebras

    • Tonny A. Springer, Ferdinand D. Veldkamp
    Pages 117-160

  7. Proper J-algebras and Twisted Composition Algebras

    • Tonny A. Springer, Ferdinand D. Veldkamp
    Pages 161-171

  8. Exceptional Groups

    • Tonny A. Springer, Ferdinand D. Veldkamp
    Pages 173-183

  9. Cohomological Invariants

    • Tonny A. Springer, Ferdinand D. Veldkamp
    Pages 185-200

  10. Back Matter

    Pages 201-208
    Download chapter PDF
Back to top

Keywords

About this book

The 1963 Göttingen notes of T. A. Springer are well-known in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra. In the group-theoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It is suitable for use in a graduate course in algebra.

Reviews

From the reviews of the first edition:

"This book is an updated and revised English version of the German notes on octaves, Jordan algebras and exceptional groups which appeared as mimeographed lecture notes of Göttingen University in 1963. It is still an excellent reference on the subject … ." (Huberta Lausch, Zentralblatt MATH, Vol. 1087, 2006)

Authors and Affiliations

  • Mathematisch Instituut, Utrecht, The Netherlands

    Tonny A. Springer

Bibliographic Information

  • Book Title: Octonions, Jordan Algebras and Exceptional Groups

  • Authors: Tonny A. Springer, Ferdinand D. Veldkamp

  • Series Title: Springer Monographs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-662-12622-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Hardcover ISBN: 978-3-540-66337-9Published: 16 May 2000

  • Softcover ISBN: 978-3-642-08563-5Published: 04 December 2010

  • eBook ISBN: 978-3-662-12622-6Published: 21 December 2013

  • Series ISSN: 1439-7382

  • Series E-ISSN: 2196-9922

  • Edition Number: 1

  • Number of Pages: VIII, 208

  • Topics: Commutative Rings and Algebras, Group Theory and Generalizations

Publish with us

Policies and ethics

Back to top

Search

Navigation