عنوان

Polynomial invariants of finite groups /

(Number (ISBN

1107362032

(Number (ISBN

9781107362031

Erroneous ISBN

0521458862

Erroneous ISBN

9780511565809

Erroneous ISBN

9780521458863

Title Proper

Polynomial invariants of finite groups /

General Material Designation

[Book]

First Statement of Responsibility

D.J. Benson.

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

©1993.

Specific Material Designation and Extent of Item

1 online resource (ix, 118 pages).

Series Title

London Mathematical Society lecture note series ;

Volume Designation

190

Text of Note

Includes bibliographical references (pages 109-115) and index.

Text of Note

This 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.

Title

Polynomial invariants of finite groups.

International Standard Book Number

0521458862

Divisor theory.

Finite groups.

Invariants.

Diviseurs, Théorie des.

Divisor theory.

Eindige groepen.

Endliche Gruppe

Finite groups.

Groupes de classes (Mathématiques)

Groupes finis.

Invariante

Invariantentheorie

Invariants.

Invariants.

MATHEMATICS-- Algebra-- Linear.

MAT-- 002050

Number

Edition

Class number

Book number

Class number

System Code

Benson, D. J., (David J.),1955-

Date of Transaction

20200822115941.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y