Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field: 170 (Cambridge Studies in Advanced Mathematics, Series Number 170) - Hardcover

Milne, J. S.

 
9781107167483: Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field: 170 (Cambridge Studies in Advanced Mathematics, Series Number 170)
Hardcover
ISBN 10: 1107167485 ISBN 13: 9781107167483
Verlag: Cambridge University Press, 2017

Inhaltsangabe

Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic geometry. The first eight chapters study general algebraic group schemes over a field and culminate in a proof of the Barsotti–Chevalley theorem, realizing every algebraic group as an extension of an abelian variety by an affine group. After a review of the Tannakian philosophy, the author provides short accounts of Lie algebras and finite group schemes. The later chapters treat reductive algebraic groups over arbitrary fields, including the Borel–Chevalley structure theory. Solvable algebraic groups are studied in detail. Prerequisites have also been kept to a minimum so that the book is accessible to non-specialists in algebraic geometry.

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Über die Autorin bzw. den Autor

J. S. Milne is Professor Emeritus at the University of Michigan, Ann Arbor. His previous books include Etale Cohomology (1980) and Arithmetic Duality Theorems (2006).

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Verlag
Cambridge University Press
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
1107167485
ISBN 13 
9781107167483
Einband
Tapa dura
Anzahl der Seiten
666
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Frankreich

Weitere beliebte Ausgaben desselben Titels

9781009018586: Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field: 170 (Cambridge Studies in Advanced Mathematics, Series Number 170)

Vorgestellte Ausgabe

ISBN 10:  1009018582 ISBN 13:  9781009018586
Verlag: Cambridge University Press, 2022
Softcover