There is a homomorphism of the coroot lattice into the affine Weyl group. At least in principle, this can be computed by taking a fundamental alcove F and translating it by an element d of the coroot lattice, then seeing what alcoves lie between F and F+d. It seems to me that it would be desirable to be able to actually implement this.
Has anyone actually done this? (Anne maybe?) Something like this was alluded to in this message of Nicolas: http://groups.google.com/group/sage-combinat-devel/msg/59f0c1d620440240 If one has available the extended affine Weyl group, the homomorphism will be defined on the whole coweight lattice. Dan -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To post to this group, send email to sage-combinat-de...@googlegroups.com. To unsubscribe from this group, send email to sage-combinat-devel+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/sage-combinat-devel?hl=en.