An Introduction to Algebraic Geometry and Algebraic Groups

Meinolf Geck

ISBN 10: 0198528310 / ISBN 13: 9780198528319

Published by OUP Oxford, 2004

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Seller Inventory # 9780198528319

Bibliographic Details

• Title: An Introduction to Algebraic Geometry and Algebraic Groups
• Publisher: OUP Oxford
• Publication Date: 2004
• Language: English
• ISBN 10: 0198528310
• ISBN 13: 9780198528319
• Binding: Buch
• Condition: Neu
• Dimensions: 240W x 161H x 22D millimeters 240 millimeters width by 161 millimeters height by 22 millimeters depth
• Weight: 646 grams

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