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
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