Maple script for Weyl group related computation
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BGG_graph.mpl
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README.md
WeylOps.mpl
idempotent-in-weyl.mw
weyl-representation.mw

README.md

WeylGroup

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"

contents

Maple worksheets

  • 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

Maple scripts

  • WeylOps.mpl: module for Weyl group manipulation
  • BGG_graph.mpl: module for drawing GKM-graph