Representations and Invariants of the Classical Groups. (Encyclopedia of mathematics and its applications, Vol.68).

Goodman, Roe; Wallach, Nolan R.;

ISBN 10: 0521582733 / ISBN 13: 9780521582735

Published by Cambridge University Press., 1998

About this Item

Zust: Gutes Exemplar. Mit original Schutzumschlag. 685 Seiten, mit Abbildungen, Englisch 1180g.

Seller Inventory # 494433

Bibliographic Details

• Title: Representations and Invariants of the Classical Groups. (Encyclopedia of mathematics and its applications, Vol.68).
• Publisher: Cambridge University Press.
• Publication Date: 1998
• Language: English
• ISBN 10: 0521582733
• ISBN 13: 9780521582735
• Binding: Karton
• Condition: Sehr gut
• Dust Jacket Condition: Dust Jacket Included
• Weight: 1180 grams
• Seller catalogs:
  • Mathematik

About this title

Synopsis

More than half a century has passed since Weyl's "The Classical Groups" gave a unified picture of invariant theory that has retained its importance in mathematics and physics to the present day. This book presents an updated version of this theory together with many of the important recent developments. As a text for beginners, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. It makes abundant use of examples and exercises to explain concepts such as root systems, Weyl groups and highest weight theory. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.

Book Description

This book presents an updated version of Weyl's invariant theory of the classical groups, together with many of the important recent developments. Requiring only an abstract algebra course as a prerequisite, it will introduce students of mathematics to the structure and finite-dimensional representation theory of the complex classical groups and will serve as a reference for researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.