Octonions, Jordan Algebras, and Exceptional Groups
Publisher: Springer Berlin / Heidelberg
Published: 2010
Language: eng
Number of pages: 208
ISBN-13: 9783642085635
Subjects: Lie groups; Algebra; Jordan algebras; Nonassociative algebras
Description: 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.