Introduction To Algebraic Geometry And Algebraic Groups


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An Introduction to Algebraic Geometry and Algebraic Groups


An Introduction to Algebraic Geometry and Algebraic Groups

Author: Meinolf Geck

language: en

Publisher: Oxford University Press

Release Date: 2003-11-13


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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. The text contains numerous examples and proofs along with exercises and hints.

Introduction to Algebraic Geometry and Algebraic Groups


Introduction to Algebraic Geometry and Algebraic Groups

Author:

language: en

Publisher: Elsevier

Release Date: 1980-01-01


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Introduction to Algebraic Geometry and Algebraic Groups

An Introduction to Algebraic Geometry and Algebraic Groups


An Introduction to Algebraic Geometry and Algebraic Groups

Author: Meinolf Geck

language: en

Publisher: Clarendon Press

Release Date: 2013-03-14


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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.