- 136 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Exceptional Lie Algebras
About this book
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 algebras, especially the exceptional D4 's, ? 6 's, and ? 7 's. These are studied by means ofconcrete realizations of the automorphism groups.Exceptional Lie Algebras is a useful tool for the mathematical public in general-especially thoseinterested in the classification of Lie algebras or groups-and for theoretical physicists.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Exceptional Lie Algebras by N. Jacobson in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Table of Contents
- Preface
- Introduction
- 1.Jordan algebras of symmetric bilinear forms
- 2.Cayley algebras
- 3.Exceptional Jordan algebras
- 4.Automorphisms of D4’s
- 5.Exceptional Lie algebras of type D4
- 6.Roots of F4 and E6
- 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
- Bibliography