Actions and Invariants of Algebraic Groups
Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.
1136588601
Actions and Invariants of Algebraic Groups
Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.
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Actions and Invariants of Algebraic Groups

Actions and Invariants of Algebraic Groups

by Walter Ricardo Ferrer Santos, Alvaro Rittatore
Actions and Invariants of Algebraic Groups
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Actions and Invariants of Algebraic Groups

Actions and Invariants of Algebraic Groups

by Walter Ricardo Ferrer Santos, Alvaro Rittatore

Overview

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.

Product Details

ISBN-13: 9781482239157
Publisher: Taylor & Francis
Publication date: 12/20/2016
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Edition description: Revised
Pages: 480
Product dimensions: 7.00(w) x 10.00(h) x (d)

About the Author

Walter Ferrer Santos is a professor of mathematics at the University of the Republic, Montevideo, Uruguay.

Alvaro Rittatore is an associate professor of mathematics at the University of the Republic, Montevideo, Uruguay.

Table of Contents

Algebraic geometry. Lie algebras. Algebraic groups: basic definitions. Algebraic groups: Lie algebras and representations. Algebraic groups: Jordan decomposition and applications. Actions of algebraic groups. Homogeneous spaces. Algebraic groups and Lie algebras in characteristic zero. Observable subgroups of affine algebraic groups. Observable actions of affine algebraic groups. Observable subgroups of affine monoids. Affine homogeneous spaces. Hilbert's 14th problem. Quotients. Appendix. Basic definitions and results.

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Science & Technology
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Mathematics - Group Theory
Science & Technology
Mathematics
Theories of Science
Algebra
Mathematics - Group Theory

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