Titlebook: Algorithms in Invariant Theory; Bernd Sturmfels Book 2008Latest edition Springer-Verlag Vienna 2008 Finite.Invariant.Invariant Theory.alge

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書目名稱Algorithms in Invariant Theory影響因子(影響力)




書目名稱Algorithms in Invariant Theory影響因子(影響力)學(xué)科排名




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書目名稱Algorithms in Invariant Theory網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Algorithms in Invariant Theory被引頻次




書目名稱Algorithms in Invariant Theory被引頻次學(xué)科排名




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書目名稱Algorithms in Invariant Theory讀者反饋學(xué)科排名

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978-3-211-77416-8Springer-Verlag Vienna 2008

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,Strukturver?nderung: Gefahr und Chance,Invariant theory is both a classical and a new area of mathematics. It played a central role in 19th century algebra and geometry, yet many of its techniques and algorithms were practically forgotten by the middle of the 20th century.

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,Strukturver?nderung: Gefahr und Chance,emain invariant under the action of a finite matrix group Γ ? .(C.). The main result of this chapter is a collection of algorithms for finding a finite set ., .,...,. of fundamental invariants which generate the invariant subring C[x].. These algorithms make use of the Molien series (Sect. 2.2) and

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Strukturkrisen: Entwicklung und Ursachen,orithm, to be presented in Sect. 4.6, is derived from Hilbert (1893). We will discuss Hilbert’s algorithm from the point of view of Gr?bner bases theory. This chapter is less elementary than the previous three. While most of the presentation is self-contained, familiarity with basic notions of commu