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AuthorDerksen, Harm. author
TitleComputational Invariant Theory [electronic resource] / by Harm Derksen, Gregor Kemper
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002
Connect tohttp://dx.doi.org/10.1007/978-3-662-04958-7
Descript X, 268 p. online resource

SUMMARY

This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. There are two introductory chapters, one on Grรถbner basis methods and one on the basic concepts of invariant theory, which prepare the ground for the algorithms. Then algorithms for computing invariants of finite and reductive groups are discussed. Particular emphasis lies on interrelations between structural properties of invariant rings and computational methods. Finally, the book contains a chapter on applications of invariant theory, covering fields as disparate as graph theory, coding theory, dynamical systems, and computer vision. The book is intended for postgraduate students as well as researchers in geometry, computer algebra, and, of course, invariant theory. The text is enriched with numerous explicit examples which illustrate the theory and should be of more than passing interest


CONTENT

1 Constructive Ideal Theory -- 2 Invariant Theory -- 3 Invariant Theory of Finite Groups -- 4 Invariant Theory of Reductive Groups -- 5 Applications of Invariant Theory -- A Linear Algebraic Groups -- References -- Notation.


Mathematics Topological groups Lie groups Algorithms Mathematics Topological Groups Lie Groups Algorithms



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