Algebraic Groups and Lie Groups with Few Factors - Couverture souple

Di Bartolo, Alfonso; Falcone, Giovanni; Plaumann, Peter; Strambach, Karl

Couverture souple

ISBN 10 : 3540785833 ISBN 13 : 9783540785835

Editeur : Springer, 2008

Synopsis

Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined.

A propos du livre

Présentation de l'éditeur

This volume treats algebraic groups from a group theoretical point of view and compares the results with the analogous issues in the theory of Lie groups. It examines a classification of algebraic groups and Lie groups having only few subgroups.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 3540785833
• ISBN 13: 9783540785835
• Reliure: Broché
• Nombre de pages: 228
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne