TY  - BOOK
AU  - Benson,D.J.
TI  - Polynomial invariants of finite groups
T2  - London Mathematical Society lecture note series
SN  - 9780511565809 (ebook)
AV  - QA201 .B46 1993
U1  - 512./5 20
PY  - 1993///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Invariants
KW  - Finite groups
KW  - Divisor theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511565809
ER  -