Guide to further reading
Having arrived at this point, the reader should be ready to progress to more advanced textbooks on Lie algebras, Lie groups, and their representations. For the theory of Lie groups, which we touched on briefly in Chapter 1, good starting points are the books by Carter, Segal and Macdonald , Hall , and Rossmann ; those by Bourbaki  and Knapp  provide more detailed accounts. The aim of this chapter is to indicate a few high points of the theory of Lie algebras that are now in prospect and to provide some specific references that the reader can consult in order to reach them.
8.1 Classification of simple Lie algebras
The only simple Lie algebras that we have studied in this book are the special ...