Root system data for type A¶
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sage.combinat.root_system.type_A.
AmbientSpace
¶ EXAMPLES:
sage: R = RootSystem(["A",3]) sage: e = R.ambient_space(); e Ambient space of the Root system of type ['A', 3] sage: TestSuite(e).run()
By default, this ambient space uses the barycentric projection for plotting:
sage: L = RootSystem(["A",2]).ambient_space() sage: e = L.basis() sage: L._plot_projection(e[0]) (1/2, 989/1142) sage: L._plot_projection(e[1]) (-1, 0) sage: L._plot_projection(e[2]) (1/2, -989/1142) sage: L = RootSystem(["A",3]).ambient_space() sage: l = L.an_element(); l (2, 2, 3, 0) sage: L._plot_projection(l) (0, -1121/1189, 7/3)
See also
sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods._plot_projection()
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sage.combinat.root_system.type_A.
CartanType
¶ Cartan Type \(A_n\)
See also
CartanType()