I would be interested to add existing code to such a class, especially things related to abaci and 0-1 sequences. Also a fast iterator over cores would be nice, but I am quite sure the implementation I have could be much improved. Paul
On Sun, Jul 24, 2011 at 1:16 AM, Anne Schilling <a...@math.ucdavis.edu> wrote: > Hi All! > > What is the status on a class for cores? Does that exist by now? > > I would like to have some new methods in Partitions such as > is_core and from_core_to_k_bounded which goes from k+1 cores > to k-bounded partitions. > > Currently one can do > > sage: la = Partition([4,3,3,3,2,2,1]) > sage: kappa = la.k_skew(4); kappa > [[12, 8, 5, 5, 2, 2, 1], [8, 5, 2, 2]] > > sage: kappa.row_lengths() > [4, 3, 3, 3, 2, 2, 1] > > but as far as I can see there is no inverse yet for k_skew > if only kappa[0] is specified. > > Best, > > Anne > > On 4/9/11 11:11 AM, Florent Hivert wrote: >> >> Hi there, >> >> Currently the methods core and quotient returns respectively a list and a >> list >> of list. Does anyone object on having them return a partition and a tuple >> of >> partition ? >> >> sage: Partition([7,7,5,3,3,3,1]).core(3) >> [1, 1] >> sage: type(Partition([7,7,5,3,3,3,1]).core(3)) >> <type 'list'> >> >> sage: sage: Partition([7,7,5,3,3,3,1]).quotient(3) >> [[2], [1], [2, 2, 2]] >> sage: type(Partition([7,7,5,3,3,3,1]).quotient(3)[0]) >> <type 'list'> >> >> In the long term, there could be a particular class for cores (there is >> already a prototype in the k-tableaux patch). But on the contrary of what >> is >> in this patch, I've rather have this class inherits from partitions. Any >> comments ? >> >> Cheers, >> >> Florent > > -- > 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. > > -- 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.
