Octonions, Jordan Algebras and Exceptional Groups

Tonny A. Springer, Ferdinand D. Veldkamp (Autoren)

Buch | Softcover

VIII, 208 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 2000
Springer Berlin (Verlag)
978-3-642-08563-5 (ISBN)

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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.

Tonny A. Springer, born on February 13, 1926 at the Hague, Holland, studied mathematics at the University of Leiden, obtaining his Ph.D. in 1951. He has been at the University of Utrecht since 1955, from 1959-1991 as a full professor, and since 1991 as an emeritus professor. He has held visiting positions at numerous prestigious institutions all over the globe, including the Institute for Advanced Study (Princeton), the Institut des Hautes Etudes Scientifiques (Bures-sur-Yvette) and the Tata Institute of Fundamental Research (Bombay). Throughout his career T. A. Springer has been involved in research on various aspects of the theory of linear algebraic groups (conjugacy classes, Galois cohomology, Weyl groups).

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.

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)

Erscheint lt. Verlag	4.12.2010
Reihe/Serie	Springer Monographs in Mathematics
Zusatzinfo	VIII, 208 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	340 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	Albert Algebras • Algebra • Algebraic Structure • Exceptional Groups • Octonions
ISBN-10	3-642-08563-6 / 3642085636
ISBN-13	978-3-642-08563-5 / 9783642085635
Zustand	Neuware