Algorithms in Invariant Theory

Bernd Sturmfels

ISBN 10: 3211774165 / ISBN 13: 9783211774168

Editore: Springer Vienna, Springer Vienna Apr 2008, 2008

Riguardo questo articolo

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 208 pp. Englisch.

Codice articolo 9783211774168

Dati bibliografici

• Titolo: Algorithms in Invariant Theory
• Editore: Springer Vienna, Springer Vienna Apr 2008
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3211774165
• ISBN 13: 9783211774168
• Rilegatura: Taschenbuch
• Edizione: seconda edizione
• Condizione: Neu
• Dimensioni: 244 L x 170 A x 12 P (millimetri) 244 millimetri di larghezza per 170 millimetri di altezza per 12 millimetri di profondità
• Peso: 369 grammi

Descrizione articolo

Riassunto

This book 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. 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 research ideas, hints for applications, outlines and details of algorithms, examples and problems.

Contenuti

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