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  1. Bog
  2. Geometri
  3. Algebraisk geometri

Algebraic Groups

- The Theory of Group Schemes of Finite Type over a Field
Af: J. S. Milne Engelsk Paperback

Algebraic Groups

- The Theory of Group Schemes of Finite Type over a Field
Af: J. S. Milne Engelsk Paperback
Tjek vores konkurrenters priser
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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kr 431
Fragt: 39 kr
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Tjek vores konkurrenters priser
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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Produktdetaljer
Sprog: Engelsk
Sider: 664
ISBN-13: 9781009018586
Indbinding: Paperback
Udgave:
ISBN-10: 1009018582
Kategori: Algebraisk geometri
Udg. Dato: 30 jun 2022
Længde: 42mm
Bredde: 230mm
Højde: 151mm
Forlag: Cambridge University Press
Oplagsdato: 30 jun 2022
Forfatter(e): J. S. Milne
Forfatter(e) J. S. Milne

Kategori Algebraisk geometri

ISBN-13 9781009018586

Sprog Engelsk

Indbinding Paperback

Sider 664

Udgave

Længde 42mm

Bredde 230mm

Højde 151mm

Udg. Dato 30 jun 2022

Oplagsdato 30 jun 2022

Forlag Cambridge University Press

Kategori sammenhænge