Dear All,
I need to implement multipartitions and (standard) (multi)tableaux so
I am in the process of writing the relevant classes. While doing this
I have been testing Jason's tableaux patch and discovering a lot of
debris in partition.py which I'm cleaning up.
Please let me know what you think of the following.
1. PartitionTuples() appears to be unused. The term "multipartition"
and is compatible with SkewMultipartition, so I propose depreciating
(or deprecating for my American friends:) these classes and creating
Multipartitions classes, which are parents, whose elements will belong
to the class Multipartition(). An element of Multipartition() will be
CombinatorialClass-es which wrap lists of Partition_class().
2.. Given the lack of enthusiasm to my previous suggestion of
overloading Tableau(), StandardTableau() as the entry point for
constructing different tableaux classes I am now creating new classes
of Multitableaux() in multitableau.py. These tableaux will be wrapped
lists of tableau.
3. Depreciate the following functions/classes in partition.py:
deprecation('"partitions_set()" is deprecated. Use the
SetPartitions(S,k) instead')
deprecation('"number_of_partitions_set()" is deprecated. Use the
SetPartitions(S,k).cardinality() instead')
deprecation('"number_of_partitions()" is deprecated. Use the
Partitions(n).cardinality() or Compositions(n,k).cardinality()
instead')
deprecation('"partitions()" is deprecated. Use the iterator from
Partitions() instead')
deprecation('"ordered_partitions()" is deprecated. Use the
Compositions() instead')
deprecation('"number_of_ordered_partitions()" is deprecated. Use
the Compositions().cardinality() instead')
deprecation('"partitions_greatest()" is deprecated. Use
PartitionsGreatestLE(n,k).list() instead')
deprecation('"partitions_greatest_eq()" is deprecated. Use
PartitionsGreatestEQ(n,k).list() instead')
deprecation('"partitions_tuples()" is deprecated. Use
Multipartitions(n,k).list() instead')
deprecation('"number_of__partition_tulpes()" is deprecated. Use
Multipartitions(n,k).cardinality() instead')
deprecation('"power_partition()" is deprecated. Use
Partition(pi).power(k) instead')
4. Remove all of the code in partition.py that was depreciated in
2009.
My plan is post these changes as two patches, one cleaning up the
partition.py code and creating multipartitions and the other creating
multitableaux. Alternatively, I could do this as three patches: create
multipartitions, clean up partitions and then implement multitableaux.
Please let me know what you think of these.
Finally, an unrelated question: does sage have nice class for
wrapping tables, or labelled matrices? As far as I can see it doesn't.
The labelled tables that I am thinking specifically are for wrapping
decomposition matrices, or formal characters but they could be used
equally well for character tables, multiplication tables and so on.
Thomas Breuer and Frank Lübeck have a very nice interface
"browse" (see http://www.math.rwth-aachen.de/~Browse/) for doing this
inside Gap4. A similar object in sage would be nice...
Cheers,
Andrew
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