Representations and Invariants of the Classical Groups

Roe Goodman, Nolan R. Wallach

685 pages, parution le 27/09/2004

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Résumé

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.

Sommaire

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)

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Roe Goodman, Nolan R. Wallach
Parution	27/09/2004
Nb. de pages	685
Format	15,5 x 23,5
Couverture	Broché
Poids	973g
Intérieur	Noir et Blanc
EAN13	9780521663489
ISBN13	978-0-521-66348-9