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* [[attachment:quantum-Bruhat-graphA2.png|Quantum Bruhat graph for A2]] Obtained with: {{{ sage: W = WeylGroup(['A',2],prefix='s') sage: G = W.quantum_bruhat_graph() sage: G.show() }}} [[attachment:parabolic-quantum-Bruhat-graphA3[1].png|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() }}} |
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: