Computational Invariant Theory

· Encyclopaedia of Mathematical Sciences 130. књига · Springer Science & Business Media
Π•-књига
268
Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†Π°
ΠžΡ†Π΅Π½Π΅ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΡ˜Π΅ нису Π²Π΅Ρ€ΠΈΡ„ΠΈΠΊΠΎΠ²Π°Π½Π΅ Β Π‘Π°Π·Π½Π°Ρ˜Ρ‚Π΅ вишС

О овој С-књизи

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.

ΠžΡ†Π΅Π½ΠΈΡ‚Π΅ ΠΎΠ²Ρƒ Π΅-ΠΊΡšΠΈΠ³Ρƒ

ΠˆΠ°Π²ΠΈΡ‚Π΅ Π½Π°ΠΌ својС ΠΌΠΈΡˆΡ™Π΅ΡšΠ΅.

Π˜Π½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΡ˜Π΅ ΠΎ Ρ‡ΠΈΡ‚Π°ΡšΡƒ

ΠŸΠ°ΠΌΠ΅Ρ‚Π½ΠΈ Ρ‚Π΅Π»Π΅Ρ„ΠΎΠ½ΠΈ ΠΈ Ρ‚Π°Π±Π»Π΅Ρ‚ΠΈ
Π˜Π½ΡΡ‚Π°Π»ΠΈΡ€Π°Ρ˜Ρ‚Π΅ Π°ΠΏΠ»ΠΈΠΊΠ°Ρ†ΠΈΡ˜Ρƒ Google Play књигС Π·Π° Android ΠΈ iPad/iPhone. Аутоматски сС ΡΠΈΠ½Ρ…Ρ€ΠΎΠ½ΠΈΠ·ΡƒΡ˜Π΅ са Π½Π°Π»ΠΎΠ³ΠΎΠΌ ΠΈ ΠΎΠΌΠΎΠ³ΡƒΡ›Π°Π²Π° Π²Π°ΠΌ Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ онлајн ΠΈ ΠΎΡ„Π»Π°Ρ˜Π½ Π³Π΄Π΅ Π³ΠΎΠ΄ Π΄Π° сС Π½Π°Π»Π°Π·ΠΈΡ‚Π΅.
Π›Π°ΠΏΡ‚ΠΎΠΏΠΎΠ²ΠΈ ΠΈ Ρ€Π°Ρ‡ΡƒΠ½Π°Ρ€ΠΈ
ΠœΠΎΠΆΠ΅Ρ‚Π΅ Π΄Π° ΡΠ»ΡƒΡˆΠ°Ρ‚Π΅ Π°ΡƒΠ΄ΠΈΠΎ-књигС ΠΊΡƒΠΏΡ™Π΅Π½Π΅ Π½Π° Google Play-Ρƒ ΠΏΠΎΠΌΠΎΡ›Ρƒ Π²Π΅Π±-ΠΏΡ€Π΅Π³Π»Π΅Π΄Π°Ρ‡Π° Π½Π° Ρ€Π°Ρ‡ΡƒΠ½Π°Ρ€Ρƒ.
Π•-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ ΠΈ Π΄Ρ€ΡƒΠ³ΠΈ ΡƒΡ€Π΅Ρ’Π°Ρ˜ΠΈ
Π”Π° бистС Ρ‡ΠΈΡ‚Π°Π»ΠΈ Π½Π° ΡƒΡ€Π΅Ρ’Π°Ρ˜ΠΈΠΌΠ° којС користС Π΅-мастило, ΠΊΠ°ΠΎ ΡˆΡ‚ΠΎ су Kobo Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ, Ρ‚Ρ€Π΅Π±Π° Π΄Π° ΠΏΡ€Π΅ΡƒΠ·ΠΌΠ΅Ρ‚Π΅ Ρ„Π°Ρ˜Π» ΠΈ прСнСсСтС Π³Π° Π½Π° ΡƒΡ€Π΅Ρ’Π°Ρ˜. ΠŸΡ€Π°Ρ‚ΠΈΡ‚Π΅ Π΄Π΅Ρ‚Π°Ρ™Π½Π° упутства ΠΈΠ· Ρ†Π΅Π½Ρ‚Ρ€Π° Π·Π° ΠΏΠΎΠΌΠΎΡ› Π΄Π° бистС ΠΏΡ€Π΅Π½Π΅Π»ΠΈ Ρ„Π°Ρ˜Π»ΠΎΠ²Π΅ Ρƒ ΠΏΠΎΠ΄Ρ€ΠΆΠ°Π½Π΅ Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡Π΅.

НаставитС Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ ΡΠ΅Ρ€ΠΈΡ˜Π°Π»

Још ΠΎΠ΄ Π°ΡƒΡ‚ΠΎΡ€Π° Harm Derksen

Π‘Π»ΠΈΡ‡Π½Π΅ Π΅-књигС