Cool pictures produced with Sage-Combinat

• Root system plots

  • (draft of upcoming tutorial, with many pictures)

• A 3d stereographic plot of a crystal graph

  • (see above for how to construct this plot)

• Alternating sign matrix poset

• Quantum Bruhat graph for A2

  • Obtained with:

    sage: W = WeylGroup(['A',2],prefix='s')
    sage: G = W.quantum_bruhat_graph()
    sage: G.show()

• Parabolic quantum Bruhat graph for A3 with J={1} Obtained with:

    sage: W = WeylGroup(['A',3],prefix='s')
    sage: G = W.quantum_bruhat_graph([1])
    sage: G.show()

• Graph of categories in Sage

  • Obtained with:

    sage: g = sage.categories.category.category_graph()
    sage: g.set_latex_options(format="dot2tex")
    sage: view(g, pdflatex=True, tightpage = True)

• Graphs representing the Cartan matrix of the monoid of upper unitriangular boolean nxn matrices. For the second one, I can't resist quoting Tom Denton: "First they tell us we will never need more than 640k of RAM, then they tell us our documents should always be less than the length of a limousine..."

  • n=4

  • n=5

• The J-order on the BiHecke monoid for the symmetric group S_3

• Sage-Combinat T-Shirt for FPSAC 2009:

  • front

  • back