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Matthias Koeppe
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src/sage/combinat/root_system/root_lattice_realization_algebras.py: Add # optional
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src/sage/combinat/root_system/root_lattice_realization_algebras.py

Lines changed: 9 additions & 11 deletions
Original file line numberDiff line numberDiff line change
@@ -52,21 +52,19 @@ def some_elements(self):
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sage: A = RootSystem(["A",2,1]).ambient_space().algebra(QQ)
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sage: A.some_elements()
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[B[2*e[0] + 2*e[1] + 3*e[2]]]
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sage: A.some_elements() # optional - sage.graphs
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[B[2*e[0] + 2*e[1] + 3*e[2]],
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B[-e[0] + e[2] + e['delta']],
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B[e[0] - e[1]],
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B[e[1] - e[2]],
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B[e['deltacheck']],
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B[e[0] + e['deltacheck']],
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B[e[0] + e[1] + e['deltacheck']]]
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B[-e[0] + e[2] + e['delta']],
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B[e[0] - e[1]],
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B[e[1] - e[2]],
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B[e['deltacheck']],
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B[e[0] + e['deltacheck']],
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B[e[0] + e[1] + e['deltacheck']]]
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sage: A = RootSystem(["B",2]).weight_space().algebra(QQ)
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sage: A.some_elements()
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[B[2*Lambda[1] + 2*Lambda[2]],
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B[2*Lambda[1] - 2*Lambda[2]],
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B[-Lambda[1] + 2*Lambda[2]],
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B[Lambda[1]],
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B[Lambda[2]]]
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[B[2*Lambda[1] + 2*Lambda[2]], B[Lambda[1]], B[Lambda[2]]]
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"""
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return [self.monomial(weight) for weight in self.basis().keys().some_elements()]
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