An Introduction to Algebraic Geometry and Algebraic Groups (Hardcover)

Meinolf Geck

ISBN 10: 0198528310 / ISBN 13: 9780198528319

Verlag: Oxford University Press, Oxford, 2003

Beschreibung

Hardcover. 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 isthe 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, athorough 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Bestandsnummer des Verkäufers 9780198528319

Bibliografische Details

• Titel: An Introduction to Algebraic Geometry and Algebraic Groups (Hardcover)
• Verlag: Oxford University Press, Oxford
• Veröffentlichungsdatum: 2003
• Sprache: Englisch
• ISBN-10: 0198528310
• ISBN-13: 9780198528319
• Bindung: Hardcover
• Zustand: new

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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