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Synopsis
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.
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- PublisherJohn Wiley & Sons Ltd
- Publication date1972
- ISBN 10 0471137359
- ISBN 13 9780471137351
- BindingHardcover
- LanguageEnglish
- Number of pages344
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Simple Groups of Lie Type. (= Reihe: Pure and Applied Mathematics. A Series of Monographs and Textbooks, edited by R. [Richard] Courant. L. Bers and J. [James] J. [Johnston] Stoker, Volume 28). Erstausgabe.
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John Wiley & Sons, London, New York, Sidney, Toronto, 1972
ISBN 10: 0471137359
ISBN 13: 9780471137351
Used
Hardcover
First Edition
Seller: Versandantiquariat Abendstunde, Ludwigshafen am Rhein, Germany
Seller rating 5 out of 5 stars
Leinen. Condition: gut. First Printing. Fadengehefteter kaschierter Ganzleineneinband mit geprägtem Rücken- und Deckeltitel und glanzfolienkaschiertem Schutzumschlag. Der Umschlag angerändert, leicht berieben, dezent knickig, am Rücken lichtgebleicht und an drei Stellen hinterlegt, die obere Kante des Hinterdeckels an einer Stelle bestoßen (s. Foto), ansonsten guter Erhaltungszustand. "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." (Verlagstext) Roger William Carter (* 25. August 1934 bei Bradford; gestorben 21. Februar 2022 in Wirral) war ein britischer Mathematiker und Hochschullehrer. Roger Carter wurde 1960 mit der Dissertation "Some Contributions to the Theory of Finite Soluble Groups" unter Derek Roy Taunt an der University of Cambridge promoviert. Er war Emeritus an der University of Warwick. Carters besonderes Interesse galt der Theorie der Lie-Algebren, sein unten angegebenes Lehrbuch zur Theorie der Gruppen vom Lie-Typ gilt als Standardreferenz. Die 1961 von ihm untersuchten nilpotenten und selbstnormalisierenden Untergruppen werden heute als Carter-Untergruppen bezeichnet. (Wikipedia) In englischer Sprache. VIII, 331, (1) pages. Groß 8° (160 x 235mm). Seller Inventory # BN32904
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Simple groups of Lie type (Pure and applied mathematics)
Seller: dsmbooks, Liverpool, United Kingdom
Seller rating 4 out of 5 stars
hardcover. Condition: Very Good. Very Good. book. Seller Inventory # D8S0-3-M-0471137359-4
Quantity: 1 available