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OverviewIn 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. Full Product DetailsAuthor: D. G. NorthcottPublisher: Cambridge University Press Imprint: Cambridge University Press Volume: 39 ISBN: 9781107325456ISBN 10: 1107325455 Publication Date: 05 April 2013 Audience: Professional and scholarly , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsIntroduction; Part I. Affine Sets: 1. Preliminaries concerning algebras; 2. Affine sets; 3. Irreducible affine sets; 4. Derivations and tangent spaces; Part II. Affine Groups: 5. Affine groups; 6. The associated Lie algebra; 7. Power series and exponentials; References; Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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