Algebraic groups and lie groups with few factors /

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Bibliographic Details
Imprint:	Berlin : Springer, ©2008.
Description:	1 online resource (xvi, 206 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1944 Lecture notes in mathematics (Springer-Verlag) ; 1944.
Subject:	Linear algebraic groups. Lie groups. Group theory. Group theory. Lie groups. Linear algebraic groups.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11067497

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Other authors / contributors:	Di Bartolo, Alfonso.
ISBN:	9783540785842 3540785841 3540785833 9783540785835
Notes:	Includes bibliographical references and index. Print version record.
Summary:	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.
Other form:	Print version: Algebraic groups and lie groups with few factors. Berlin : Springer, ©2008 9783540785835 3540785833
Standard no.:	9786611856403

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