Exceptional Lie Algebras

Exceptional Lie Algebras

This volume presents a set of models for the exceptional Lie algebras over algebraically closed fields of characteristic 0 and over the field of real numbers. The models given are based on the algebras of Cayley numbers (octonions) and on exceptional Jordan algebras. They are also valid for characteristics p ≠ 2.

The book also provides an introduction to the problem of forms of exceptional simple Lie algebras, especially the exceptional D4's, 6's, and 7's. These are studied by means of concrete realizations of the automorphism groups.

Intended Audience

Exceptional Lie Algebras is a useful tool for the mathematical public in general—especially those interested in the classification of Lie algebras or groups—and for theoretical physicists.