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Computational Invariant Theory (Hardcover, 2nd ed. 2015)
Loot Price: R4,227
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Computational Invariant Theory (Hardcover, 2nd ed. 2015)
Series: Encyclopaedia of Mathematical Sciences, 130
Expected to ship within 12 - 17 working days
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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 Groebner 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. More than ten years after the first publication
of the book, the second edition now provides a major update and
covers many recent developments in the field. Among the roughly 100
added pages there are two appendices, authored by Vladimi r Popov,
and an addendum by Norbert A'Campo and Vladimir Popov.
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