Salut,

I just tried to get the degrees of the fundamental invariants of a
CoxeterGroup or WeylGroup. Does anyone know how to get them?

There is a way to get them by W.invariant_generators(), but this took
for S_4 already half a minute. As many of you know, those degrees are
very important data for the group, as many things can be computed
using those.

While looking for those degrees (maybe I just missed them in some
natural place...), I saw that there are many things in this area
looking unorganized and too complicated. I think of starting to get
first basic things of general Coxeter groups and of complex reflection
groups into sage (of cause without using gap - now as the universal
cyclotomic field is in sage) and as well to organize things in this
direction... What do you think?

Best, Christian

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