Algebraic Groups and Modular Lie Algebras.
Humphreys, J.E.
Algebraic Groups and Modular Lie Algebras. - 1st ed. - 1 online resource (80 pages) - Memoirs of the American Mathematical Society ; v.1 . - Memoirs of the American Mathematical Society .
Intro -- 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 -- Bibliography.
9781470400194
Group theory.
Electronic books.
QA174.2.H86 1967
Algebraic Groups and Modular Lie Algebras. - 1st ed. - 1 online resource (80 pages) - Memoirs of the American Mathematical Society ; v.1 . - Memoirs of the American Mathematical Society .
Intro -- 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 -- Bibliography.
9781470400194
Group theory.
Electronic books.
QA174.2.H86 1967