#12630: Add representations of quivers and quiver algebras to sage
-------------------------------------------+--------------------------------
Reporter: JStarx | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.10
Component: algebra | Resolution:
Keywords: algebra, quiver, module | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Jim Stark | Merged in:
Dependencies: #12412, #12413 | Stopgaps:
-------------------------------------------+--------------------------------
Comment (by SimonKing):
I am both puzzled and impressed: Aren't modules in Sage currently only
defined over commutative algebras? But then, why does it work to let
`QuiverRep_generic` inherit from sage.modules.module.Module?
Concerning the location of the class definitions, I think that one should
not squeeze all code into sage.modules.quiver_module: This file should
only contain `QuiverRep_generic` and related definitions, but not
`Quiver_generic`, `QuiverPath` or `QuiverAlgebra`:
- If one thinks that a quiver is a graph, then it should be defined
somewhere in sage.graphs. If one thinks that a quiver is an associative
magma that also happens to be a graph (I'd prefer this point of view!),
then one might create a new section sage.magmas for it, or simply put it
into sage.monoids.
- A quiver algebra is an algebra. Hence, it should be put into
sage.algebras.
- If one thinks of `QuiverPath` as an element of a quiver-the-associative-
magma, then it should be put into the same section (sage.magmas or
sage.monoids) and used as element_class of quiver-the-associative-magma;
but even in this case, `QuiverPath` and quiver-the-associative-magma
should be defined in different files, so that it will later be easier to
change `QuiverPath` into optimized Cython code.
IMHO, the code will be much easier to maintain when it was divided into
smaller parts distributed into appropriate sections of Sage.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12630#comment:33>
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?hl=en.
For more options, visit https://groups.google.com/groups/opt_out.
