| 书目名称 | Computational Invariant Theory |
| 编辑 | Harm Derksen,Gregor Kemper |
| 视频video | |
| 概述 | Excellent presentations of topics one cannot find in books elsewhere.Includes supplementary material: |
| 丛书名称 | Encyclopaedia of Mathematical Sciences |
| 图书封面 |  |
| 描述 | Invariant theory is a subject with a long tradition and an astounding abil ity to rejuvenate itself whenever it reappears on the mathematical stage. Throughout the history of invariant theory, two features of it have always been at the center of attention: computation and applications. This book is about the computational aspects of invariant theory. We present algorithms for calculating the invariant ring of a group that is linearly reductive or fi nite, including the modular case. These algorithms form the central pillars around which the book is built. To prepare the ground for the algorithms, we present Grabner basis methods and some general theory of invariants. Moreover, the algorithms and their behavior depend heavily on structural properties of the invariant ring to be computed. Large parts of the book are devoted to studying such properties. Finally, most of the applications of in variant theory depend on the ability to calculate invariant rings. The last chapter of this book provides a sample of applications inside and outside of mathematics. |
| 出版日期 | Book 20021st edition |
| 关键词 | Gröbner basis; Invariant theory; algorithms; coding theory; computational commutative algebra; geometry |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-04958-7 |
| isbn_softcover | 978-3-642-07796-8 |
| isbn_ebook | 978-3-662-04958-7Series ISSN 0938-0396 |
| issn_series | 0938-0396 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 19:59:13
