1.

Record Nr.

UNINA9910828118403321

Autore

Humphreys James E.

Titolo

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

Pubbl/distr/stampa

Providence : , : American Mathematical Society, , 1967

ISBN

1-4704-0019-7

Descrizione fisica

1 online resource (80 p.)

Collana

Memoirs of the American Mathematical Society ; ; number 71

Disciplina

510

Soggetti

Group theory

Lie algebras

Modular fields

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Cover title.

"A revision of the author's doctoral dissertation (Yale University, 1966)".

Nota di bibliografia

Bibliography: pages 75-76.

Nota di contenuto

""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""