An Introduction to Algebraic Geometry and Algebraic Groups

AvMeinolf Geck

Häftad, Engelska, 2013

Del 10 i serien Oxford Graduate Texts in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2013-03-14
Mått:157 x 233 x 16 mm
Vikt:488 g
Format:Häftad
Språk:Engelska
Serie:Oxford Graduate Texts in Mathematics
Antal sidor:320
Förlag:OUP OXFORD
ISBN:9780199676163

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Grupper och gruppteori inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

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

Recensioner i media

The author's intention was to write a quick introduction to the area of algebraic groups of the Lie type over fields of positive characteristic and I think he was very successful. The first part of the book can be recommended as a very suitable text for undergraduate students at the beginning of their studies.

Innehållsförteckning

1. Algebraic sets and algebraic groups ; 2. Affine varieties and finite morphisms ; 3. Algebraic representations and Borel subgroups ; 4. Frobenius maps and finite groups of Lie type ; Bibliography ; Index

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