
Simple Groups of Lie Type
Roger W. Carter(Author)
Wiley (Publisher)
Will be published approx. on 19. April 1989
Book
Paperback/Softback
352 pages
978-0-471-50683-6 (ISBN)
Description
Now available in paperback--the standard introduction to the theory of simple groups of Lie type. In 1955, Chevalley showed how to construct analogues of the complex simple Lie groups over arbitrary fields. The present work presents the basic results in the structure theory of Chevalley groups and their twisted analogues. Carter looks at groups of automorphisms of Lie algebras, makes good use of Weyl group (also discussing Lie groups over finite fields), and develops the theory of Chevalley and Steinberg groups in the general context of groups with a (B,N)-pair. This new edition contains a corrected proof of the simplicity of twisted groups, a completed list of sporadic simple groups in the final chapter and a few smaller amendments; otherwise, this work remains the classic piece of exposition it was when it first appeared in 1971.
More details
Series
Edition
Revised edition
Language
English
Place of publication
New York
United States
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 216 mm
Width: 140 mm
Thickness: 21 mm
Weight
491 gr
ISBN-13
978-0-471-50683-6 (9780471506836)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Roger W. Carter
Simple Groups of Lie Type
Book
01/1972
Wiley
€29.40
Article exhausted; check different version
Person
Roger W. Carter is an emeritus professor at the University of Warwick. He defined Carter subgroups and wrote the standard reference Simple Groups of Lie Type.
Content
Partial table of contents:
The Classical Simple Groups.
Weyl Groups.
Simple Lie Algebras.
The Chevalley Groups.
Unipotent Subgroups.
The Diagonal and Monomial Subgroups.
The Bruhat Decomposition.
Polynomial Invariants of the Weyl Group.
The Exponents of the Weyl Group.
Further Properties of the Chevalley Groups.
Generators, Relations and Automorphisms in Chevalley Groups.
The Twisted Simple Groups.
Further Properties of the Twisted Groups.
Associated Geometrical Structures.
Sporadic Simple Groups.
Bibliography.
Index of Notation.
Index.
The Classical Simple Groups.
Weyl Groups.
Simple Lie Algebras.
The Chevalley Groups.
Unipotent Subgroups.
The Diagonal and Monomial Subgroups.
The Bruhat Decomposition.
Polynomial Invariants of the Weyl Group.
The Exponents of the Weyl Group.
Further Properties of the Chevalley Groups.
Generators, Relations and Automorphisms in Chevalley Groups.
The Twisted Simple Groups.
Further Properties of the Twisted Groups.
Associated Geometrical Structures.
Sporadic Simple Groups.
Bibliography.
Index of Notation.
Index.