Simple Groups of Lie Type

Roger W Carter

ISBN 10: 0471506834 / ISBN 13: 9780471506836

Editore: Wiley Jan 1989, 1989

Riguardo questo articolo

Neuware - 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.

Codice articolo 9780471506836

Dati bibliografici

• Titolo: Simple Groups of Lie Type
• Editore: Wiley Jan 1989
• Data di pubblicazione: 1989
• Lingua: Inglese
• ISBN 10: 0471506834
• ISBN 13: 9780471506836
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

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.

Informazioni sull?autore

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.