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Algebraic Groups and Lie Groups with Few Factors

Name: Algebraic Groups and Lie Groups with Few Factors
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01570004
Price: 45.89 EUR
Availability: InStock
Author: Giovanni Falcone
ISBN: 9783540785835

Giovanni Falcone

Peter Plaumann

Karl Strambach

Lingua

Inglese

Libro In brossura

Codice Libristo: 01570004

Casa editrice Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, aprile 2008

Algebraic groups are treated in this volume from a group theoretical point of view and the obtained... Descrizione completa

Codice Libristo: 01570004

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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.