Representations and Invariants of the Classical Groups (Encyclopedia of Mathematics and its Applications, Volume 68)

Goodman, Roe; Wallach, Nolan R.

ISBN 10: 0521663482 / ISBN 13: 9780521663489

Published by Cambridge University Press, 1999

About this Item

First soft cover edition in very good plus condition, tight and square with bright covers and spine, sturdy binding, clean unmarked interior. Mild wear and soiling of page block edges.

Seller Inventory # 91426(30)

Bibliographic Details

• Title: Representations and Invariants of the Classical Groups (Encyclopedia of Mathematics and its Applications, Volume 68)
• Publisher: Cambridge University Press
• Publication Date: 1999
• Language: English
• ISBN 10: 0521663482
• ISBN 13: 9780521663489
• Binding: Soft cover
• Edition: 1st Edition
• Condition: Very Good
• Dimensions: 3.81W x 15.88H x 23.5D centimeters 3.81 centimeters width by 15.88 centimeters height by 23.5 centimeters depth
• Weight: 975 grams

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.