"Nicolas M. Thiery" <nicolas.thi...@u-psud.fr> writes: > On Mon, Dec 18, 2017 at 01:57:04PM +0100, Martin Rubey wrote: >> I admit I am not completely sure right now: can we associate a conjugacy >> class of subgroups of S_n, isomorphic to the Weyl group, in a sensible >> way to a finite Cartan type? > > The permutation action on the roots would be a rather natural choice. > This could be extended to affine Weyl groups using affine > permutations.
Indeed! This leaves the question whether there we can compute a canonical form for permutation groups up to conjugacy. I just noticed that this is a mathoverflow question, too: https://mathoverflow.net/q/90107/3032 Unfortunately, as of today it doesn't have a straight answer, but maybe things have changed? Martin _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
