An Introduction to Algebraic Geometry and Algebraic Groups

Hardcover | July 30, 2004

byMeinolf Geck

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An accessible text introducing algebraic geometries and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic groups from first principles. Building on the background material from algebraic geometry and algebraic groups, the text provides an introduction to more advanced and specialised material. An example is the representation theory of finite groups of Lie type. The text covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, a thorough treatment of Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields. Experts in the field will enjoysome of the new approaches to classical results. The text uses algebraic groups as the main examples, including worked out examples, instructive exercises, as well as bibliographical and historical remarks.

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An accessible text introducing algebraic geometries and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic groups from first principles. Building on the background material from algebraic geometry a...

Meinolf Geck is at Institut Girard Desargues, Universite Lyon.

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Hardcover|Jun 15 2000

$272.48 online$360.00list price(save 24%)
Format:HardcoverDimensions:320 pages, 9.21 × 6.14 × 0.79 inPublished:July 30, 2004Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198528310

ISBN - 13:9780198528319

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Table of Contents

1. Algebraic sets and algebraic groups2. Affine varieties and finite morphisms3. Algebraic representations and Borel subgroups4. Frobenius maps and finite groups of Lie typeBibliographyIndex