The object of this paper, which is the first in a series of three, is to lay the foundations of the theory of ideals and algebraic sets over groups. แฎ 1999 Aca- demic Press CONTENTS 1. Introduction. 1.1. Some general comments. 1.2. The category of G-groups. 1.3. Notions from commutative algebra. 1.4
Algebraic Geometry IV: Linear Algebraic Groups Invariant Theory
โ Scribed by A.N. Parshin, I.R. Shafarevich, V.L. Popov, T.A. Springer, E.B. Vinberg
- Book ID
- 127436075
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 3 MB
- Series
- Encyclopaedia of Mathematical Sciences
- Edition
- 1st Edition.
- Category
- Library
- ISBN
- 3642081193
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โฆ Synopsis
This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a well-known expert in the first mentioned field. He presents a comprehensive survey, which contains numerous sketched proofs and he discusses the particular features of algebraic groups over special fields (finite, local, and global). The authors of part two, E.B. Vinberg and V.L. Popov, are among the most active researchers in invariant theory. The last 20 years have been a period of vigorous development in this field due to the influence of modern methods from algebraic geometry. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics.
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James E. Humphreys is presently Professor of Mathematics at the University of Massachusetts at Amherst. Before this, he held the posts of Assistant Professor of Mathematics at the University of Oregon and Associate Professor of Mathematics at New York University. His main research interests include
This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spa
The workshop "Algebraic Geometry and Coding Theory - 3" organized by the Institute of Information Transmission (Moscow), University of Essen, Equipe Arithmetique et Theorie de Tlnformation de C.N.R.S. (Marseille-Luminy), and Group d'Etude du Codage de Toulon took place in the Centre International de