Polynomial Invariants of Finite Groups (London Mathematical Society Lecture Note Series)
| Author | : | |
| Rating | : | 4.14 (935 Votes) |
| Asin | : | 0511565801 |
| Format Type | : | paperback |
| Number of Pages | : | 366 Pages |
| Publish Date | : | 2014-01-16 |
| Language | : | English |
DESCRIPTION:
"not only complete, it is written with a view to its being consulted on page 49 without having read up to page 48. As is customary for books published by Cambridge University Press in this series, the typography sets a standard of excellence and the price is remarkably low." Frank Grosshans, Mathematical Reviews . It contains a wealth of material in updated form which should give a great impulse to further work, for example, an account of Dickson's work on invariants under the classical groups over finite fields." G.-C. Rota, Bulletin of Mathematics Books"The exposition is uniformly excellent. It is also worth observing that many important ideas in modern commutative algebra were developed
"the old standard invariants text" according to Roger Bagula. Being a computer algebra type ( Mathematica),I find a lot of his examples in OEIS.The problem is that it is hard to turn histheorems into code that produces Molien sequenceswithout better representations of the groups.A newer book by Larry Smith's old co-author:Invariant Theory (Student Mathematical Library)may be an almost answer?The mathematics here is useful.
Benson, University of Oxford.
Heavy use is made of techniques from commutative algebra, and these are developed as needed. The author includes the recent proof of the Carlisle-Kropholler conjecture.. This book covers a topic of great interest in abstract algebra. Special attention is paid to the role played by pseudoreflections, which arise because they correspond to the divisors in the polynomial ring that ramify over the invariants. It gives 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