Title | Algebraic Geometry IV [electronic resource] : Linear Algebraic Groups Invariant Theory / edited by A. N. Parshin, I. R. Shafarevich |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994 |

Connect to | http://dx.doi.org/10.1007/978-3-662-03073-8 |

Descript | X, 286 p. online resource |

SUMMARY

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

CONTENT

I. Linear Algebraic Groups -- II. Invariant Theory -- Author Index

Mathematics
Algebra
Algebraic geometry
Topological groups
Lie groups
Physics
Mathematics
Algebraic Geometry
Topological Groups Lie Groups
Algebra
Theoretical Mathematical and Computational Physics