#14844: Implement cluster algebras with universal coefficients
-----------------------------+----------------------------------------------
Reporter: etn40ff | Owner: sage-combinat
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.12
Component: combinatorics | Keywords: cluster algebras
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Salvatore Stella
Merged in: | Dependencies:
Stopgaps: |
-----------------------------+----------------------------------------------
This is a first implementation of cluster algebras with universal
coefficients.
It is far from being optimal for several reasons. The biggest issues comes
from an incompatibility between QuiverMutationType and CartanType: there
is no clean way to translate one into the other. A more subtle issue is
that CartanType does not allow to choose the ordering on simple roots
while in a cluster algebra everything is defined up to relabeling.
To solve these issues, in this patch, the set of positive roots is
computed by hand. As a consequence the order in which they appear is not
the standard one.
For the overall development of sage we might consider a cleanup and
extension of CartanType, RootSystem etc to allow Cartan matrices as input.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14844>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/groups/opt_out.
