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 >>> symmetric group, 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 use symmetric function 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 -~----------~----~----~----~------~----~------~--~---
