
Algebraic Geometry IV
Linear Algebraic Groups Invariant Theory
Springer (Publisher)
Published on 25. April 1994
Book
Hardback
X, 286 pages
978-3-540-54682-5 (ISBN)
Description
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.
More details
Series
Edition
1994 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 286 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
1320 gr
ISBN-13
978-3-540-54682-5 (9783540546825)
DOI
10.1007/978-3-662-03073-8
Schweitzer Classification
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Content
I. Linear Algebraic Groups.- II. Invariant Theory.- Author Index.