#10527: Implementation of quiver mutation type
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Reporter: stumpc5 | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.1
Component: combinatorics | Resolution:
Keywords: quiver mutation type days38 | Work issues:
Report Upstream: N/A | Reviewers: Hugh Thomas
Authors: Christian Stump | Merged in:
Dependencies: #10349 | Stopgaps:
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Comment (by hthomas):
In cluster algebras 2, beginning of section 6, Fomin and Zelevinsky point
out that they are using the transpose of the Bourbaki convention for
associating a root system to a Cartan matrix (and that the convention they
are using is consistent with Kac). So it looks like the choice of
convention that you & Nicolas were following in consistent with F&Z, and
Kac, and transposed compared to Bourbaki.
I think it would be good to add a note to this effect to the documentation
for the cartan_matrix of a !CartanType, and probably also for the
cartan_matrix of a !QuiverMutationType.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10527#comment:63>
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