Octonions, Jordan Algebras and Exceptional Groups

AvTonny A. Springer,Ferdinand D. Veldkamp

Inbunden, Engelska, 2000

Del i serien Springer Monographs in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2000-05-16
Mått:155 x 235 x 20 mm
Vikt:488 g
Format:Inbunden
Språk:Engelska
Serie:Springer Monographs in Mathematics
Antal sidor:208
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540663379

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Recensioner i media

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 Gottingen University in 1963. It is still an excellent reference on the subject ... ." (Huberta Lausch, Zentralblatt MATH, Vol. 1087, 2006)

Innehållsförteckning

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.