136 Pages
by
CRC Press
136 Pages
by
CRC Press
136 Pages
by
Routledge
Also available as eBook on:
This volume presents a set of models for the exceptional Lie algebras over algebraically closed fieldsof characteristic O and over the field of real numbers. The models given are based on the algebras ofCayley numbers (octonions) and on exceptional Jordan algebras. They are also valid forcharacteristics p * 2. The book also provides an introduction to the problem of forms of exceptionalsimple Lie... Read more
Preface
Introduction
Jordan algebras of symmetric bilinear forms
Cayley algebras
Exceptional Jordan algebras
Automorphisms of D4’s
Exceptional Lie algebras of type D4
Roots of F4 and E6
Lie algebras of type E6
Some applications of Galois cohomology
Lie algebras of type E7
Tits’ second construction
Calculation of the Killing forms
Models of the real forms
Bibliography
Biography
N. Jacobson
