Exceptional Lie Algebras

ISBN-13: 9781138402089 / Angielski / Twarda / 2017

N. Jacobson

Opis

This book provides a set of models for the exceptional lie algebras over algebraically closed fields of characteristic "0" and over the field of real numbers. It also provides an introduction to the problem of forms of exceptional simple lie algebras.

Spis treści

Introduction 1. Jordan algebras of symmetric bilinear forms 2. Cayley algebras 3. Exceptional Jordan algebras 4. Automorphisms of 5. Exceptional Lie algebras of type D4 6. Roots of and 6 7. Lie algebras of type E6 8. Some applications of Galois cohomology 9. Lie algebras of type E7 10. Tits' second construction 11. Calculation of the Killing forms 12. Models of the real forms

O autorze

N. Jacobson