Hi all, Nicolas sez:
>>I have the feeling that it would be more natural if a method of >> W (or of it's elements) returning some roots would return then as >> elements of L. Anne sez: > To me it feels more natural to have the output on the basis of simple > roots, rather than the ambient space. I'm with Anne here. Consider what happens if you consistently ask for roots and coroots through the domain of the Weyl group. The most dramatic case is when you use the Weyl group acting on the coweight lattice. sage: W = RootSystem(['A',3]).coweight_lattice().weyl_group() sage: w =W.from_reduced_word([2,1,3]) sage: w.inversions(inversion_type = 'roots') [2*Lambdacheck[1] - Lambdacheck[2], -Lambdacheck[2] + 2*Lambdacheck[3], Lambdacheck[1] + Lambdacheck[3]] sage: w.inversions(inversion_type = 'coroots') [alpha[1], alpha[3], alpha[1] + alpha[2] + alpha[3]] This seems far more confusing than just always returning things labeled with alphas for roots and alphachecks for coroots. --Mark -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To post to this group, send email to sage-combinat-devel@googlegroups.com. To unsubscribe from this group, send email to sage-combinat-devel+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/sage-combinat-devel?hl=en.
