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Algorithms in Invariant Theory

Bernd Sturmfels (Autor)

Buch | Softcover

VII, 197 Seiten

2008 | 2nd ed. 2008
Springer Wien (Verlag)
978-3-211-77416-8 (ISBN)

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J. Kung and G.-C. Rota, in their 1984 paper, write: "Like the Arabian phoenix rising out of its ashes, the theory of invariants, pronounced 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 the main tool by which the central problems in invariant theory become amenable to algorithmic solutions. Students will find the book an easy introduction to this "classical and new" area of mathematics. Researchers in mathematics, symbolic computation, and computer science will get access to a wealth of research ideas, hints for applications, outlines and details of algorithms, worked out examples, and research problems.

Invariant theory of finite groups.- Bracket algebra and projective geometry.- Invariants of the general linear group.

Erscheint lt. Verlag	28.4.2008
Reihe/Serie	Texts & Monographs in Symbolic Computation
Mitarbeit	Herausgeber (Serie): Peter Paule
Zusatzinfo	VII, 197 p.
Verlagsort	Vienna
Sprache	englisch
Maße	170 x 244 mm
Gewicht	389 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Schlagworte	Algebra • algorithms • combinatorics • Computer • Computer Science • Finite • Geometry • Invariant • Invariant theory • Mathematics • Symbolic Computation
ISBN-10	3-211-77416-5 / 3211774165
ISBN-13	978-3-211-77416-8 / 9783211774168
Zustand	Neuware