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

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0943-853X dead at the turn of the century, is once again at the forefront of mathematics”. The book of Sturmfels is both an easy-to-read textbook for invariant theory and a challenging research monograph that introduces a new approach to the algorithmic side of invariant theory. The Groebner bases method is t

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Strukturkrisen: Entwicklung und Ursachen,ry. This chapter is less elementary than the previous three. While most of the presentation is self-contained, familiarity with basic notions of commutative algebra and representation theory will be assumed.

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Invariants of the general linear group,ry. This chapter is less elementary than the previous three. While most of the presentation is self-contained, familiarity with basic notions of commutative algebra and representation theory will be assumed.

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,Strukturveränderung: Gefahr und Chance,the Cohen-Macaulay property (Sect. 2.3). In Sect. 2.4 we include a discussion of invariants of reflection groups, which is an important classical topic. Sections 2.6 and 2.7 are concerned with applications and special cases.

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Book 2008Latest editione turn of the century, is once again at the forefront of mathematics”. The book of Sturmfels is both an easy-to-read textbook for invariant theory and a challenging research monograph that introduces a new approach to the algorithmic side of invariant theory. The Groebner bases method is the main to

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Invariant theory of finite groups,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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