Paperback or Softback. Condition: New. Algebraic Groups: The Theory of Group Schemes of Finite Type Over a Field 2.12. Book. Seller Inventory # BBS-9781009018586

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Algebraic Groups (Cambridge Studies in Advanced Mathematics, Series Number 170)

Milne, J. S.

Published by Cambridge University Press, 2022

ISBN 10: 1009018582 ISBN 13: 9781009018586

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Algebraic Groups

Milne, J. S.

Published by Cambridge University Press, 2022

ISBN 10: 1009018582 ISBN 13: 9781009018586

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Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field

J. S. Milne

Published by Cambridge University Press, 2022

ISBN 10: 1009018582 ISBN 13: 9781009018586

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Paperback. Condition: Brand New. 664 pages. 9.00x6.00x1.67 inches. In Stock. This item is printed on demand. Seller Inventory # __1009018582

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Algebraic Groups (Paperback)

J.S. Milne

Published by Cambridge University Press, Cambridge, 2022

ISBN 10: 1009018582 ISBN 13: 9781009018586

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Paperback. Condition: new. Paperback. 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 BarsottiChevalley 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 BorelChevalley 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781009018586

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