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Simple Groups of Lie Type by Roger W. Carter at Abbey's Bookshop,
Simple Groups of Lie Type
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Roger W. Carter

Simple Groups of Lie Type

Roger W. Carter

$511.95

Paperback

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English
John Wiley & Sons Inc
04 January 1989
Groups & group theory
Series: Wiley Classics Library
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.
By:  
Imprint:   John Wiley & Sons Inc
Country of Publication:   United States
Edition:   New edition
Dimensions:   Height: 231mm,  Width: 147mm,  Spine: 16mm
Weight:   415g
ISBN:   9780471506836
ISBN 10:   0471506834
Series:   Wiley Classics Library
Pages:   352
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Further / Higher Education ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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.

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.

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