Octonions, Jordan Algebras and Exceptional Groups

Tonny A. Springer, Ferdinand D. Veldkamp

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English

Springer Verlag
01 June 2000

Mathematics & Sciences; Groups & group theory

Series: Springer Monographs in Mathematics

The 1963 Gottingen 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.

By: Tonny A. Springer, Ferdinand D. Veldkamp
Imprint: Springer Verlag
Country of Publication: Germany
Dimensions: Height: 235mm, Width: 155mm, Spine: 14mm
Weight: 1.080kg
ISBN: 9783540663379
ISBN 10: 3540663371
Series: Springer Monographs in Mathematics
Pages: 222
Publication Date: 01 June 2000
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Reviews for Octonions, Jordan Algebras and Exceptional Groups

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)