#12630: Add representations of quivers and quiver algebras to sage
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Reporter: JStarx | Owner: AlexGhitza
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.2
Component: algebra | Resolution:
Keywords: algebra, quiver, | Merged in:
module, days49 | Reviewers: Simon King
Authors: Jim Stark, Simon | Work issues: fix or delete
King, Mathieu Guay-Paquet, Aladin | "all_paths()"
Virmaux | Commit:
Report Upstream: N/A | a6b04c6c57b2362cbfa2e300a5d592ef79757fc8
Branch: | Stopgaps:
public/combinat/quivers |
Dependencies: #12412, #12413, |
#14806, #15491, #15623, #15810 |
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Comment (by SimonKing):
Ouch, that's bad. The "all_paths" method is used to determine the number
of elements of a path semigroup (see its `__len__` method). Hence, we
couldn't simply remove it. Or could we? We currently determine the number
of elements by listing them. Instead, we could first test if the semigroup
is finite, and if it is, then we could determine the cardinality by
enumeration. That's not elegant, though: `list(Q.path_semigroup())` would
involve enumeration ''twice'', namely when determining the length and when
forming the list.
Is there a better way?
--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:210>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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