Representations and Invariants of the Classical Groups (Encyclopedia of Mathematics and its Applications, Series Number 68) - Hardcover

Goodman, Roe; Wallach, Nolan R.

Hardcover

ISBN 10: 0521582733 ISBN 13: 9780521582735

Publisher: Cambridge University Press, 1998

Synopsis

More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, 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. 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.

About this title

Review

'It is no prophecy to state that this book will become an important reference work, but it will also serve as an excellent textbook for various courses.' G. Kowol, Book Reviews

'This remarkable book is indeed an encyclopedic treatment of the classical groups and their representation theory ... an excellent reference source ... the book will be a very valuable item in each private or public library.' European Mathematical Society

'With its wealth of material covered, this book will be the reference book on these topics for the next decades.' Ch. Krattenthaler, Internationale Mathematische Nachrichten

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. An introductory and more advanced graduate level text, it is also a reference for researchers whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1998
• Language: English
• ISBN 10: 0521582733
• ISBN 13: 9780521582735
• Binding: Hardcover
• Number of pages: 703