Polynomial Invariants of Finite Groups (London Mathematical by D. J. Benson PDF

By D. J. Benson

ISBN-10: 0521458862

ISBN-13: 9780521458863

this can be the 1st publication to house invariant concept and the representations of finite teams. by way of limiting cognizance to finite teams Dr Benson is ready to stay away from recourse to the technical equipment of algebraic teams, and he develops the mandatory effects from commutative algebra as he proceeds. hence the ebook may be available to graduate scholars. intimately, the publication comprises an account of invariant conception for the motion of a finite workforce at the ring of polynomial features on a linear illustration, either in attribute 0 and attribute p. exact consciousness is paid to the position performed through pseudoreflections, which come up simply because they correspond to the divisors within the polynomial ring which ramify over the invariants. additionally incorporated is a brand new facts via Crawley-Boevey and the writer of the Carlisle-Kropholler conjecture. This quantity will entice all algebraists, yet in particular these operating in illustration conception, team thought, and commutative or homological algebra.

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