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BGG.mpl
BGGT.mpl
BGGT_example.mw
BGG_example.mw
BGG_graph.mpl
BGG_graph_example.mw
E8data-P2.m
E8data.m
E8gen.mpl
LICENSE
WeylOps.mpl
readme.md

readme.md

Maple script for equivariant cohomology of flag manifolds

  • written by S. Kaji
  • some algorithms are explained in:
    S. Kaji, Three presentations of torus equivariant cohomology of flag manifolds, in Proceedings of International Mathematics Conference in honour of the 70th Birthday of Professor S. A. Ilori
    arXiv:1504.01091 http://arxiv.org/abs/1504.01091

This script requires the “coxeter and weyl package” by J.Stembridge. Download it from:

rename it to “coxeter.txt” and place in the same directory as the script file.

contents

Maple worksheets

  • BGG_example.mws: Example for calculation of H^*(E_8/P_2;Z)
  • BGGT_example.mws: Example for calculation of H^*_T(G/B;Z)
  • BGG_graph_example.mws: Example for drawing GKM-graph for G/P

Maple scripts

  • BGG.mpl: module for ordinary cohomology (optimised for exceptional types)
  • BGGT.mpl: module for equivariant cohomology
  • WeylOps.mpl: module for Weyl group manipulation
  • BGG_graph.mpl: module for drawing GKM-graph