Titlebook: Computational Invariant Theory; Harm Derksen,Gregor Kemper Book 20021st edition Springer-Verlag Berlin Heidelberg 2002 Gröbner basis.Invar

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0938-0396 ong 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 in

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Book 20021st edition 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.   

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Introduction, of Classical Invariant Theory and sent this line of research into a nearly dormant state for some decades, but they also sparked the de velopment of commutative algebra and algebraic geometry. Indeed, Hilbert’s papers on invariant theory [107, 108] contain such fundamental results as the Nullstelle

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Constructive Ideal Theory,is chapter have efficient implementations in various computer algebra systems, such as CoCoA [40], MACAULAY (2) [97], MAGMA [24], or SINGULAR [99], to name just a few, rather specialized ones. The normalization algorithm explained in Section 1.6 is implemented in MACAULAY and SINGULAR.

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Computational Invariant Theory978-3-662-04958-7Series ISSN 0938-0396

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https://doi.org/10.1007/978-3-663-20475-6nces given for each topic. For example, we omit applications to projective geometry, which are very well explained in Sturmfels [239, Chapter 3] . We try to present a wide range of applications from different fields, and exemplify the use of invariant theory in each case.

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