> < ^ From:

> < ^ Subject:

Dear Forum,

"S.Loewe@tu-bs.de" wrote:

Dear Forum,

(at least) the sources of GAP4 contain functions calculating Molien

Series. It would be very helpful for me if somebody could point me to

background material (theoretical or algorithmical) of the

implementation.

Theoretical background can be found in books that deal

with polynomial invariants of finite groups.

E.g.

@book{Stur1,

author="Bernd Sturmfels",

year=1993,

title="Algorithms in Invariant Theory",

publisher="Springer",

series = "Texts and Monographs in Symbolic Computation",

address="Vienna"}

Another point is that knowing the character (and the conjugacy

classes) suffices. This seems to be a folklore result, at least

I don't know any appropriate reference.

Once this is realized, actual implementation of the

computation is straighforward, assuming

that one has a tool to manipulate rational functions of one variable.

Regards,

Dmitrii

d.pasechnik@twi.tudelft.nl

> < [top]