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Algebraic groups and modular Lie algebras
About this Title
James E. Humphreys
Publication: Memoirs of the American Mathematical Society
Publication Year:
1967; Number 71
ISBNs: 978-0-8218-1271-6 (print); 978-1-4704-0019-4 (online)
DOI: https://doi.org/10.1090/memo/0071
MathSciNet review: 0217075
Table of Contents
Chapters
- 1. Introduction
- 2. Roots of a semisimple group
- 3. Cartan decomposition of $L(G)$
- 4. Groups and algebras of rank two
- 5. The Lie algebra of a semisimple group
- 6. The induced adjoint representation
- 7. Isogenies
- 8. Chevalley’s theorem
- 9. Groups of type PA
- 10. Ideals of $L(G)$. Applications
- 11. Reductive groups
- 12. Solvable groups: Preliminaries
- 13. Maximal tori
- 14. Borel subgroups
- 15. Cartan subgroups
- 16. A conservation theorem
- 17. Algebraic Lie algebras