Affine sets and affine groups
By: D. G. Northcott.
Series: London Mathematical Society lecture note series ; 39; London Mathematical Society lecture note series ;; 39.
Publisher: Cambridge University Press
Published: 1980
Place of publication: Cambridge [Eng.]; New York
Language: eng
Number of pages: 285
Subjects: Geometry, Algebraic.; Linear algebraic groups.; Set theory.
Description: 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.
Notes: Bibliography: p. 283.
Includes index.