Affine Sets and Affine Groups / D. G. Northcott.

By: Northcott, D. G [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 39Publisher: Cambridge : Cambridge University Press, 1980Description: 1 online resource (298 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781107325456 (ebook)Other title: Affine Sets & Affine GroupsSubject(s): Geometry, Algebraic | Linear algebraic groups | Set theoryAdditional physical formats: Print version: : No titleDDC classification: 516.4 LOC classification: QA564 | .N68Online resources: Click here to access online Summary: 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.
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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.

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