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Algebraic Geometry IV : Linear Algebraic Groups Invariant Theory / edited by A.N. Parshin, I.R. Shafarevich
(Encyclopaedia of Mathematical Sciences ; 55)
版 | 1st ed. 1994. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 1994 |
本文言語 | 英語 |
大きさ | X, 286 p : online resource |
著者標目 | Parshin, A.N editor Shafarevich, I.R editor SpringerLink (Online service) |
件 名 | LCSH:Algebraic geometry LCSH:Topological groups LCSH:Lie groups LCSH:Algebra LCSH:Mathematical physics FREE:Algebraic Geometry FREE:Topological Groups and Lie Groups FREE:Algebra FREE:Theoretical, Mathematical and Computational Physics |
一般注記 | I. Linear Algebraic Groups -- II. Invariant Theory -- Author Index 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 HTTP:URL=https://doi.org/10.1007/978-3-662-03073-8 |
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Springer eBooks | 9783662030738 |
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EB00235311 |
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