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* [[attachment:alternating-sign-matrix-poset.pdf|Alternating sign matrix poset]] |
Cool pictures produced with Sage-Combinat
- 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()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..."
The J-order on the BiHecke monoid for the symmetric group S_3
- Sage-Combinat T-Shirt for FPSAC 2009:
