Polynomial Invariants of Finite Groups
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Polynomial Invariants of Finite Groups by D. J. Benson
Book DescriptionThis is the first book to deal with invariant theory and the representations of finite groups. By restricting attention to finite groups Dr Benson is able to avoid recourse to the technical machinery of algebraic groups, and he develops the necessary results from commutative algebra as he proceeds. Thus the book should be accessible to graduate students. In detail, the book contains an account of invariant theory for the action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p. Special attention is paid to the role played by pseudoreflections, which arise because they correspond to the divisors in the polynomial ring which ramify over the invariants. Also included is a new proof by Crawley-Boevey and the author of the Carlisle-Kropholler conjecture. This volume will appeal to all algebraists, but especially those working in representation theory, group theory, and commutative or homological algebra.
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Book DetailsISBN: 9780521458863
(228mm x 152mm x 8mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 7-Oct-1993
Country of Publication: United Kingdom
Books By Author D. J. Benson
Music: A Mathematical Offering, Paperback (November 2006)
This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.
Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras, Paperback (June 1998)
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Representations and Cohomology: Volume 2, Cohomology of Groups and Modules, Paperback (June 1998)» View all books by D. J. Benson
A further introduction to modern developments in the representation theory of finite groups and associative algebras.
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