Yes, I know about the symmetric functions way, but I thought that there would be a built in function that does this.
I guess the easiest thing to do would be to define a function that uses the symmetric functions to compute this. I guess this can be submitted to sage so such a function exists, but I don't know how computationally efficient it would be (my guess is that it won't be very efficient). On 13 May, 21:32, David Joyner <wdjoy...@gmail.com> wrote: > On Wed, May 13, 2009 at 10:33 AM, Jason Bandlow <jband...@gmail.com> wrote: > > > David Joyner wrote: > >> On Tue, May 12, 2009 at 6:43 PM, amps <arat...@gmail.com> wrote: > >>> I see that there is a function to compute the character table of the > >>>symmetricgroup, but is there one where you input two partitions and > >>> it outputs the value of the character indexed by the first partition > >>> evaluated at the second? I have been searching for some time and > >>> can't find the answer. > > >> I don't know either and would be interested as well. > >> Do you know how to do this in GAP? > > > One way is to usesymmetricfunction theory: > > > sage: s = SFASchur(QQ); p = SFAPower(QQ) > > sage: s(p([2,2])).coefficient([3,1]) > > -1 > > > This says that the value of the irreducible character indexed by the > > partition (3,1) is -1 when evaluated on a conjugacy class of size (2,2). > > This is cool - thanks! > > > > > Cheers, > > Jason --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
