Travis, Any reasonable definition of reading word of tableau will have the property that the result of inserting the reading word of the tableau, is the original tableau.
So I think there is a problem somewhere here. --Mark > Hey Andrew, > > > > > > I have been distracted from sage for quite some time but this morning I > > started playing again and I came across the *reading_tableau *method of a > > partition. The documentation for this method reads: > > > > Return the reading tableau of the reading word under the > > Robinson-Schensted correspondence of the (standard) tableau `T` > > labeled > > down (in English convention) each column to the shape of ``self``. > > > > For an example of the tableau `T`, consider the partition > > `\lambda = (3,2,1)`, then we have:: > > > > 1 4 6 > > 2 5 > > 3 > > > > For more, see :func:`~sage.combinat.rsk.RSK()`. > > > > EXAMPLES:: > > > > sage: Partition([3,2,1]).reading_tableau() > > [[1, 3, 6], [2, 5], [4]] > > > > The example in the text and the example that is doc-test appear to > > disagree. My guess is that the example in the text is what is expected. > > Is this right? [In 5.8 the behaviour is as in the doc-test.] > > > > This is correct. The documentation is describing the tableau T, which then > it takes the reading word (which is [3, 2, 5, 1, 4, 6]), and then runs RSK > on that permutation and pulls the reading tableau. While the documentation > is not the best, it is accurate (I had to read it a few times myself). > > Best, > Travis > > > -- > You received this message because you are subscribed to the Google Groups > "sage-combinat-devel" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-combinat-devel+unsubscr...@googlegroups.com. > To post to this group, send email to sage-combinat-devel@googlegroups.com. > Visit this group at http://groups.google.com/group/sage-combinat-devel?hl=en. > For more options, visit https://groups.google.com/groups/opt_out. > > -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-combinat-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-combinat-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-combinat-devel?hl=en. For more options, visit https://groups.google.com/groups/opt_out.
