ENGLISH

Algebraic groups and lie groups with few factors

By Alfonso Di Bartolo , Giovanni Falcone , Peter Plaumann , Karl Strambach (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
9783540785835, 3540785833, 3540785841, 9783540785842
DOI
10.1007/978-3-540-78584-2
ISSN
0075-8434
LCC
QA179 .A43 2008,QA3 .L37 no.1944
Open Library ID
OL17000533M
Language
english
Format
PDF
Filesize
3 MB (2648845 bytes)
Series
Lecture notes in mathematics 1944
Edition
1
Pages
212\223
Library
mexmat
Time added
2009-07-20 03:45:11
Group Theory and Generalizations; Algebraic GeometLie Groups; Non-associative Rings and Algebras

Description

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.

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