Introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields. Series: Oxford Graduate Texts in Mathematics. Num Pages: 320 pages, bibliography, index. BIC Classification: PBF; PBG; PBMW. Category: (U) Tertiary Education (US: College). Dimension: 241 x 162 x 26. Weight in Grams: 602. . 2003. hardcover. . . . .

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Bibliographic Details

Title: An Introduction to Algebraic Geometry and Algebraic Groups: 10 (Oxford Graduate Texts in Mathematics)
Publisher: OUP Oxford
Publication Date: 2003
Language: English
ISBN 10: 0198528310
ISBN 13: 9780198528319
Binding: Hardcover
Condition: New

About this title

Synopsis

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 enjoy some 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.

About the Author

Meinolf Geck is Professor in Pure Mathematics at the Institute of Mathematics, King's College, University of Aberdeen

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