Algebraic geometry: 4 Linear algebraic groups
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 see...
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| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
[1994]
|
| Schriftenreihe: | Encyclopaedia of mathematical sciences
volume 55 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBT01 Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 Online-Ressource (x, 268 Seiten) |
| ISBN: | 9783662030738 |
| DOI: | 10.1007/978-3-662-03073-8 |
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| spelling | Algebraičeskaja geometrija Algebraic geometry 4 Linear algebraic groups A. N. Parshin, I. R. Shafarevich (eds.) Berlin Springer [1994] 1 Online-Ressource (x, 268 Seiten) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of mathematical sciences volume 55 Encyclopaedia of mathematical sciences 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. Mathematics Geometry, algebraic Topological Groups Algebraic Geometry Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik Paršin, Aleksej Nikolaevič 1942-2022 (DE-588)172519012 edt Šafarevič, Igorʹ R. 1923-2017 (DE-588)119280337 edt (DE-604)BV047172160 4 Erscheint auch als Druck-Ausgabe 978-3-642-08119-4 Encyclopaedia of mathematical sciences volume 55 (DE-604)BV035421342 55 https://doi.org/10.1007/978-3-662-03073-8 Verlag URL des Erstveröffentlichers Volltext Invariant theory |
| spellingShingle | Algebraic geometry Encyclopaedia of mathematical sciences Mathematics Geometry, algebraic Topological Groups Algebraic Geometry Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik |
| title | Algebraic geometry |
| title_alt | Algebraičeskaja geometrija |
| title_auth | Algebraic geometry |
| title_exact_search | Algebraic geometry |
| title_exact_search_txtP | Algebraic geometry |
| title_full | Algebraic geometry 4 Linear algebraic groups A. N. Parshin, I. R. Shafarevich (eds.) |
| title_fullStr | Algebraic geometry 4 Linear algebraic groups A. N. Parshin, I. R. Shafarevich (eds.) |
| title_full_unstemmed | Algebraic geometry 4 Linear algebraic groups A. N. Parshin, I. R. Shafarevich (eds.) |
| title_short | Algebraic geometry |
| title_sort | algebraic geometry linear algebraic groups |
| topic | Mathematics Geometry, algebraic Topological Groups Algebraic Geometry Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik |
| topic_facet | Mathematics Geometry, algebraic Topological Groups Algebraic Geometry Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik |
| url | https://doi.org/10.1007/978-3-662-03073-8 |
| volume_link | (DE-604)BV047172160 (DE-604)BV035421342 |
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