#13077: generalised Tamari lattices
-------------------------------------+--------------------------------------
       Reporter:  chapoton           |         Owner:  sage-combinat
           Type:  enhancement        |        Status:  needs_review 
       Priority:  minor              |     Milestone:  sage-5.6     
      Component:  combinatorics      |    Resolution:               
       Keywords:  poset              |   Work issues:               
Report Upstream:  N/A                |     Reviewers:               
        Authors:  Frédéric Chapoton  |     Merged in:               
   Dependencies:                     |      Stopgaps:               
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Old description:

> The Tamari lattice is a partial order on planar binary trees or Dyck
> paths.
>
> (see [http://en.wikipedia.org/wiki/Tamari_lattice Tamari Lattice] in
> Wikipedia)
>
> It has been generalized recently by F. Bergeron and his collaborators.
>
> The patch below implements these lattices, and even more general
> versions.

New description:

 The Tamari lattice is a partial order on planar binary trees or Dyck
 paths.

 (see [http://en.wikipedia.org/wiki/Tamari_lattice Tamari Lattice] in
 Wikipedia)

 It has been generalized recently by F. Bergeron and his collaborators.

 The patch below implements these lattices, and even more general versions.

 apply trac_13077_tamari_posets-fc.patch

--

Comment (by chapoton):

 I have replaced generalised by generalized

 I have added a note on the conjectural status of lattice property

 apply trac_13077_tamari_posets-fc.patch

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13077#comment:13>
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