#12630: Add representations of quivers and quiver algebras to sage
-------------------------------------+-------------------------------------
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: Do not allow
King, Mathieu Guay-Paquet, Aladin | conversion of an arrow that is not
Virmaux | in the quiver
Report Upstream: N/A | Commit:
Branch: | b550c5013bef54098cc28c7a8ab34cf0f9fccdf9
public/combinat/quivers | Stopgaps:
Dependencies: #12412, #12413, |
#14806, #15491, #15623, #15810 |
-------------------------------------+-------------------------------------
Changes (by SimonKing):
* status: needs_review => needs_work
* work_issues: => Do not allow conversion of an arrow that is not in the
quiver
Comment:
Replying to [comment:226 darij]:
> What about this, do we consider it a bug?
> {{{
> sage: sage: P1 = DiGraph({1:{2:['a']}}).path_semigroup()
> sage: sage: P2 = DiGraph({1:{2:['a','b']}}).path_semigroup()
> sage: sage: A1 = P1.algebra(GF(3))
> sage: sage: A2 = P2.algebra(GF(3))
> sage: e1, e2, a, b = A2.gens()
> sage: A1(b)
> b
> sage: list(A1.basis())
> [e_1, e_2, a]
> }}}
Argh! Sure, that needs to be fixed.
--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:227>
Sage <http://www.sagemath.org>
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