#15683: Interval-posets of Tamari
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Reporter: VivianePons | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.2
Component: combinatorics | Resolution:
Keywords: combinat, Tamari, | Merged in:
binary trees, Dyck paths | Reviewers:
Authors: Viviane Pons | Work issues:
Report Upstream: N/A | Commit:
Branch: public/combinat | b46fc059840920899fb756dc3a80b9beac54efe9
/interval-posets-15683 | Stopgaps:
Dependencies: |
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Comment (by darij):
Only minor changes so far (I was busy fixing my own git errors most of the
time...).
I think we should merge #14498 into this branch, shouldn't we? I'm
referring to one of the methods from #14498 for its doc. (Namely, for the
definition of the Tamari order on trees. By the way, does that definition
play well with the one you are using?)
I have revamped your references as they were too short and conflicting
with some existing ones ("Cha" is way too common for an identifier).
This is probably a stupid question a more careful look at the code would
answer, but where do I find a method to turn a Tamari interval-poset into
a poset? While you have redefined some poset-theoretical methods, there
are still many more in the Poset class.
I've added an arXiv identifier to the Chapoton reference. If you are aware
of the paper being more up-to-date than the arXiv preprint, please remove
it again.
If I remember correctly, the Tamari lattice projects onto the Bruhat poset
(one of the two, I never remember which); are there any methods for this?
--
Ticket URL: <http://trac.sagemath.org/ticket/15683#comment:16>
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