000 02251nam a22003618i 4500
001 CR9780511565809
003 UkCbUP
005 20200124160239.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090518s1993||||enk o ||1 0|eng|d
020 _a9780511565809 (ebook)
020 _z9780521458863 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 4 _aQA201
_b.B46 1993
082 0 0 _a512./5
_220
100 1 _aBenson, D. J.
_q(David J.),
_d1955-
_eauthor.
245 1 0 _aPolynomial invariants of finite groups /
_cD.J. Benson.
264 1 _aCambridge :
_bCambridge University Press,
_c1993.
300 _a1 online resource (ix, 118 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v190
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis 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.
650 0 _aInvariants.
650 0 _aFinite groups.
650 0 _aDivisor theory.
776 0 8 _iPrint version:
_z9780521458863
830 0 _aLondon Mathematical Society lecture note series ;
_v190.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511565809
999 _c518332
_d518330