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Affine Sets and Affine Groups : Cambridge Monographs on the History of Medicine - D. G. Northcott

Affine Sets and Affine Groups

Cambridge Monographs on the History of Medicine

Paperback Published: 7th July 1980
ISBN: 9780521229098
Number Of Pages: 298

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In these notes, first published in 1980, Professor Northcott provides a self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory. The book divides into two parts. The first four chapters contain all the geometry needed for the second half of the book which deals with affine groups. Alternatively the first part provides a sure introduction to the foundations of algebraic geometry. Any affine group has an associated Lie algebra. In the last two chapters, the author studies these algebras and shows how, in certain important cases, their properties can be transferred back to the groups from which they arose. These notes provide a clear and carefully written introduction to algebraic geometry and algebraic groups.

Affine Sets
Preliminaries concerning algebras
Affine sets
Irreducible affine sets
Derivations and tangent spaces
Affine Groups
Affine groups
The associated Lie algebra
Power series and exponentials
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521229098
ISBN-10: 052122909X
Series: Cambridge Monographs on the History of Medicine
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 298
Published: 7th July 1980
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.7
Weight (kg): 0.44

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