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Catalogue Information
Field name	Details
Dewey Class	512.55
Dewey Class	512.482
Title	Computational Invariant Theory ([EBook]) / by Harm Derksen, Gregor Kemper.
Author	Derksen, Harm, , 1970-
Added Personal Name	Kemper, Gregor
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2002.
Physical Details	X, 268 pages : online resource.
Series	Encyclopaedia of mathematical sciences. Invariant theory and algebraic transformation groups 0938-0396 ; ; 130
ISBN	9783662049587
Summary Note	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 Gröbner 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.:
Contents note	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. .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-04958-7
Links to Related Works	Subject References: Algorithms . Invariants . Invariants — Data processing . Lie groups . Topological groups . Topological groups, Lie groups . Authors: author . Derksen, Harm, 1970- . Derksen, Harm, 1970- . Kemper, Gregor . Corporate Authors: SpringerLink (Online service) . Series: Encyclopaedia of mathematical sciences. Invariant theory and algebraic transformation groups . Classification: 512.482 . 512.55 .

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Computational Invariant Theory

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