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Algebraic Geometry IV: Linear Algebraic Groups Invariant Theory

Algebraic Geometry IV: Linear Algebraic Groups Invariant Theory
Catalogue Information
Field name Details
Dewey Class 516.35
Title Algebraic Geometry IV ([EBook]) : Linear Algebraic Groups Invariant Theory / edited by A. N. Parshin, I. R. Shafarevich.
Added Personal Name Parshin, A. N.
Shafarevich, Igor R.(Igor Rostislavovich) , 1923-2017
Šafarevič, Igor Rostislavovič
, 1923-2017
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1994.
Physical Details X, 286 pages : online resource.
Series Encyclopaedia of mathematical sciences 0938-0396 ; ; 55
ISBN 9783662030738
Summary Note The problems being solved by invariant theory are far-reaching generalizations and extensions of problems on the "reduction to canonical form" of various is almost the same thing, projective geometry. objects of linear algebra or, what Invariant theory has a ISO-year history, which has seen alternating periods of growth and stagnation, and changes in the formulation of problems, methods of solution, and fields of application. In the last two decades invariant theory has experienced a period of growth, stimulated by a previous development of the theory of algebraic groups and commutative algebra. It is now viewed as a branch of the theory of algebraic transformation groups (and under a broader interpretation can be identified with this theory). We will freely use the theory of algebraic groups, an exposition of which can be found, for example, in the first article of the present volume. We will also assume the reader is familiar with the basic concepts and simplest theorems of commutative algebra and algebraic geometry; when deeper results are needed, we will cite them in the text or provide suitable references.:
Contents note I. Linear Algebraic Groups -- II. Invariant Theory -- Author Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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