sage: S7 = SymmetricGroup(7) sage: S7.character_table() [ 1 -1 1 -1 1 -1 1 1 -1 1 -1 1 -1 -1 1] [ 6 -4 2 0 3 -1 -1 0 -2 0 1 1 1 0 -1] [14 -6 2 -2 2 0 2 -1 0 0 0 -1 -1 1 0] [14 -4 2 0 -1 -1 -1 2 2 0 -1 -1 1 0 0] [15 -5 -1 3 3 1 -1 0 -1 -1 -1 0 0 0 1] [35 -5 -1 -1 -1 1 -1 -1 1 1 1 0 0 -1 0] [21 -1 1 3 -3 -1 1 0 1 -1 1 1 -1 0 0] [21 1 1 -3 -3 1 1 0 -1 -1 -1 1 1 0 0] [20 0 -4 0 2 0 2 2 0 0 0 0 0 0 -1] [35 5 -1 1 -1 -1 -1 -1 -1 1 -1 0 0 1 0] [14 4 2 0 -1 1 -1 2 -2 0 1 -1 -1 0 0] [15 5 -1 -3 3 -1 -1 0 1 -1 1 0 0 0 1] [14 6 2 2 2 0 2 -1 0 0 0 -1 1 -1 0] [ 6 4 2 0 3 1 -1 0 2 0 -1 1 -1 0 -1] [ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] sage: S7.irreducible_characters()[4] Character of Symmetric group of order 7! as a permutation group sage: list(_) [15, -5, -1, 3, 3, 1, -1, 0, -1, -1, -1, 0, 0, 0, 1]
On Monday, August 20, 2012 12:51:04 AM UTC-4, bsmile wrote: > > I need to calculate very simple properties of the symmetric group, say > list group elements, their characters and irreducible representations. > Would you please let me know the related commands to achieve these goals? > Thank you very much!! -- -- To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
