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portada Algebraic Groups (Cambridge Studies in Advanced Mathematics, Series Number 170)
Type
Physical Book
Author
Publisher
Language
English
Pages
666
Format
Paperback
Dimensions
22.9x15.2x3.7 cm
Weight
0.96 kg.
ISBN13
9781009018586
Edition No.
1
Categories

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

J. S. Milne (Author) · Cambridge University Press · Paperback

Algebraic Groups (Cambridge Studies in Advanced Mathematics, Series Number 170) - Milne, J. S.

New Book Imported to South Africa
Delivery: 28 Oct - 05 Nov Shipping: 1 to 2 business days.
R 1,228
R 1,228

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

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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