Hi Amri, On Fri, Dec 20, 2013 at 11:33 AM, Amri <amripra...@gmail.com> wrote: > Is there a fast implementation for characters values of symmetric groups in > Sage? It looks like sage.combinat.symmetric_group_representations.py > constructs the representation explicitly to compute the character values.
More precisely, I think it computes the representation matrices. > I am looking for a function which, when fed two partitions ``la`` and ``mu`` > returns the value of the character of the Specht module corresponding to > ``la`` at a class with cycle type ``mu``. I think your best bet is Sym = SymmetricFunctions(QQ) p = Sym.p() s = Sym.s() p(s[la]).coefficient([mu]) which is precisely the Murnaghan-Nakayama formula and uses relatively fast tools (either symmetrica or lrcalc) to compute its result. Best regards, Darij -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-combinat-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-combinat-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-combinat-devel. For more options, visit https://groups.google.com/groups/opt_out.
