Representations and Invariants of the Classical Groups

Name: Representations and Invariants of the Classical Groups
Price: 106.49 USD
Availability: InStock
ISBN: 9780521582735

ISBN-10: 0521582733

ISBN-13: 9780521582735

Edition: 1998

Authors: Roe Goodman, Nolan R. Wallach, B. Doran, P. Flajolet, M. Ismail

List price: $155.00

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Description:

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…

Book details

List price: $155.00
Copyright year: 1998
Publisher: Cambridge University Press
Publication date: 1/28/1998
Binding: Hardcover
Pages: 703
Size: 6.50" wide x 9.53" long x 1.73" tall
Weight: 2.596
Language: English




Classical groups as linear algebraic groups



Basic structure of classical groups



Algebras and representations



Polynomials and tensor invariants



Highest weight theory



Spinors



Cohomology and characters



Branching laws



Tensor representations of GL(V)



Tensor represenations of O(V) and Sp(V)



Algebraic groups and homogeneous spaces



Representations on Aff(X)



Algebraic geometry



Linear and multilinear algebra



Associative algebras and Lie algebras



Manifolds and Lie groups