禁令 发表于 2025-3-23 10:01:43
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同谋 发表于 2025-3-23 17:54:17
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.向前变椭圆 发表于 2025-3-23 20:48:33
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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 contain such fundamental results as the Nullstelle过份艳丽 发表于 2025-3-24 12:24:55
Constructive Ideal Theory,is chapter have efficient implementations in various computer algebra systems, such as CoCoA , MACAULAY (2) , MAGMA , or SINGULAR , to name just a few, rather specialized ones. The normalization algorithm explained in Section 1.6 is implemented in MACAULAY and SINGULAR.Encephalitis 发表于 2025-3-24 18:18:10
Computational Invariant Theory978-3-662-04958-7Series ISSN 0938-0396Malaise 发表于 2025-3-24 20:40:12
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 . We try to present a wide range of applications from different fields, and exemplify the use of invariant theory in each case.abolish 发表于 2025-3-25 00:17:04
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