Algebraic groups and modular Lie algebras

Algebraic groups and modular Lie algebras by James E. Humphreys.

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Bibliographic Details
Main Author: Humphreys, James E.
Format: eBook
Language:English
Published: Providence, American Mathematical Society, 1967.
Series:Memoirs of the American Mathematical Society ; no. 71.
Subjects:
Group theory.
Lie algebras.
Finite fields (Algebra)
Group theory
Lie algebras
Groupes, Théorie des.
Lie, Algèbres de.
Online Access:Click for online access
Table of Contents:
  • 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.

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