Octonions, Jordan Algebras, and Exceptional Groups / Edition 1

Octonions, Jordan Algebras, and Exceptional Groups / Edition 1

by Tonny A. Springer, Ferdinand D. Veldkamp
     
 

ISBN-10: 3540663371

ISBN-13: 9783540663379

Pub. Date: 06/16/2000

Publisher: Springer Berlin Heidelberg

The 1963 Gwttingen notes of T. A. Springer are well-known in the field but have been unavailable for some time. This book is a translation o f those notes, completely updated and revised. The part of the book de aling with the algebraic structures is on a fairly elementary level, p resupposing basic results from algebra. In the group-theoretical part use is made of

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Overview

The 1963 Gwttingen notes of T. A. Springer are well-known in the field but have been unavailable for some time. This book is a translation o f those notes, completely updated and revised. The part of the book de aling with the algebraic structures is on a fairly elementary level, p resupposing 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 alg ebras and Albert algebras, or in exceptional groups. It is suitable fo r use in a graduate course in algebra.

Product Details

ISBN-13:
9783540663379
Publisher:
Springer Berlin Heidelberg
Publication date:
06/16/2000
Series:
Springer Monographs in Mathematics Series
Edition description:
2000
Pages:
208
Product dimensions:
9.21(w) x 6.14(h) x 0.56(d)

Table of Contents

1. Composition Algebras.- 2. The Automorphism Group of an Octonion Algebra.- 3. Triality.- 4. Twisted Composition Algebras.- 5. J-algebras and Albert Algebras.- 6. Proper J-algebras and Twisted Composition Algebras.- 7. Exceptional Groups.- 8. Cohomological Invariants.

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