Maple script for Weyl group related computation
This script requires the “coxeter and weyl package” and "posets package" by J.Stembridge. Download the "Vanilla" editions from:
rename it to “coxeter.txt” and "posets.txt" and place in the same directory as the script file.
Download "traverse" example as well from below
and rename it to "traverse.txt"
- weyl-representation.mw: compute Weyl group representation on the real toric variety see the paper "Geometric representations of finite groups on real toric spaces" https://arxiv.org/abs/1704.08591
- idempotent-in-weyl.mw: compute idempotents in the group ring of a Weyl group see the paper "Suspension splittings and self-maps of flag manifolds" https://arxiv.org/abs/1802.01809
- WeylOps.mpl: module for Weyl group manipulation
- BGG_graph.mpl: module for drawing GKM-graph