#13077: generalised Tamari lattices
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Reporter: chapoton | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-5.4
Component: combinatorics | Resolution:
Keywords: poset | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Frédéric Chapoton | Merged in:
Dependencies: | Stopgaps:
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Comment (by chapoton):
Hello Hugh,
thanks for having a look at that.
I have added a few tests in the new version of the patch. In particular,
one checks that (i,j) is in the correct half-rectangle.
In these lattices, m is really another independant parameter, having
nothing to do with a/b. It would not make sense here to make m a rational
number. Morally, m is the quotient of the lengths of vertical and
horizontal steps, which defines a hidden notion of diagonal, which is used
in "swap" to define the coverings.
I understand that I would be much better if these lattices are described
somewhere. So far, they do not appear in print.
Do you think it is neccessary to explain in the patch why they are indeed
lattices ?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13077#comment:8>
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