A01=N. Jacobson
advanced algebraic structures
aE Ij
Algebraic Closure
Alternative Algebra
Associative Division Algebras
Author_N. Jacobson
automorphism groups
Bilinear Form
Cartan Subalgebra
Category=PBH
Cayley Algebra
Central Simple Associative Algebra
classification of simple Lie algebras
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exceptional Lie Algebras
Galois cohomology
graduate mathematics textbook
Isomorphism Class
Jordan Algebra
Killing Form
Lie Algebras
Lie Triple System
N. Jacobson
Nilpotent Elements
Non-degenerate Symmetric Bilinear Form
Non-trivial Idempotent
Non-zero Nilpotent Elements
Nondegenerate Symmetric Bilinear Form
octonion algebra
Quaternion Division Algebra
real number field applications
Restricted Lie Algebras
Root Vector
Simple Lie Algebras
Special Jordan Algebra
Symmetric Invariant Bilinear Form
Product details
- ISBN 9780824713263
- Weight: 340g
- Dimensions: 178 x 254mm
- Publication Date: 01 Jun 1971
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Paperback
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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.
