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. Carter, Roger W. [William]

Carter, Roger W. [William]

ISBN 10: 0471137359 / ISBN 13: 9780471137351

Editore: John Wiley & Sons, 1972

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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. In englischer Sprache. pages.

Codice articolo BN547098

Dati bibliografici

• Titolo: 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. Carter, Roger W. [William]
• Editore: John Wiley & Sons
• Data di pubblicazione: 1972
• Lingua: Inglese
• ISBN 10: 0471137359
• ISBN 13: 9780471137351
• Rilegatura: Hardcover
• Edizione: 1972.
• Condizione: gut
• Peso: 2000 grammi

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Riassunto

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.