#18597: Implement m-Cambrian lattices (using delta sequences)
-------------------------------------+-------------------------------------
       Reporter:  nathanwilliams     |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
  sagedays64.5,catalan,coxeter,cambrian|    Reviewers:  Christian Stump
        Authors:  Nathan Williams    |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  49aab49c1afb45314bc444114c8385bc557d5ab5
  u/stumpc5/implement_m_cambrian_lattices__using_delta_sequences_|     Stopgaps:
   Dependencies:                     |
  #18590,#18610,#11187               |
-------------------------------------+-------------------------------------
Changes (by chapoton):

 * cc: tscrim (added)


Old description:

> Implement m-Cambrian lattices for a finite Coxeter group W and a Coxeter
> element c using the description in arXiv:1503.00710 on D. Armstrong's
> delta sequences.  Give a similar (faster) implementation on roots for
> Weyl groups.

New description:

 Implement m-Cambrian lattices for a finite Coxeter group W and a Coxeter
 element c using the description in :arxiv:`1503.00710` on D. Armstrong's
 delta sequences.  Give a similar (faster) implementation on roots for Weyl
 groups.

--

Comment:

 Christian, maybe we could get rid of the dependency to #11187 ?

 There is currently a problem with the `Twords` dictionary, because its
 keys are essentially in

 `Full MatrixSpace of 2 by 2 sparse matrices over Universal Cyclotomic
 Field`

 but it is evaluated on some elements

 `Full MatrixSpace of 2 by 2 dense matrices over Universal Cyclotomic
 Field`

 Travis, may I ask for your help ?

--
Ticket URL: <http://trac.sagemath.org/ticket/18597#comment:20>
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