An Introduction to Algebraic Geometry and Algebraic Groups
By (author) Meinolf Geck
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Introduction to Algebraic Geometry and Algebraic Groups by Meinolf Geck
Book DescriptionAn 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.
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Book DetailsISBN: 9780198528319
(240mm x 160mm x 20mm)
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 13-Nov-2003
Country of Publication: United Kingdom
Books By Author Meinolf Geck
Introduction to Algebraic Geometry and Algebraic Groups, Paperback (March 2013)
An accessible text 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.
Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras, Hardback (August 2000)
Finite Coxeter groups and related structures arise naturally in several branches of mathematics, for example, Lie algebras or theory of knots and links. This is the first book which develops the character theory of finite Coxeter groups and Iwahori-Hecke algebras in a systematic way, ranging from classical results to recent developments.
Representations of Reductive Groups, Hardback (September 1998)» View all books by Meinolf Geck
This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
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Author Biography - Meinolf Geck
Meinolf Geck is Professor in Pure Mathematics at the Institute of Mathematics, King's College, University of Aberdeen
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