Articoli correlati a Maximal Subgroups of Exceptional Algebraic Groups

Maximal Subgroups of Exceptional Algebraic Groups - Brossura

Seitz, Gary M.

 
9780821825044: Maximal Subgroups of Exceptional Algebraic Groups
Brossura
ISBN 10: 0821825046 ISBN 13: 9780821825044
Casa editrice: Amer Mathematical Society, 1991

Sinossi

The goal of this book is the determination of the maximal closed connected subgroups of the simple algebraic groups of exceptional type. The main result recovers the results of Dynkin and extends them to cover the case of algebraic groups over algebraically closed fields of positive characteristic. The author first reduces to the case of semisimple subgroups, and then studies them via their action on the Lie algebra of the overlying exceptional group. The analysis is facilitated by a particular 1-dimensional torus of the subgroup which determines a labelling of the Dynkin diagram of the exceptional group. The results of that paper, when combined with previous results concerning maximal subgroups of classical algebraic groups, yield a reasonably complete analysis of the maximal closed connected subgroups of simple algebraic groups.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Labelled diagrams, restrictions of L(G)X, and root groups; Reduction to the case X simple; X = A1, A2, B2, G2, A3, B3, C3, A4, B4, C4, D4, F4, E6, E7; X of classical type and rank(X) 55; The main theorems.

Product Description

Book by Seitz Gary M

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Amer Mathematical Society
Data di pubblicazione
1991
Lingua
Inglese
ISBN 10 
0821825046
ISBN 13 
9780821825044
Rilegatura
Copertina flessibile
Numero di pagine
197
Contatto del produttore
non disponibile
Persona responsabile
non disponibile