#16659: Decomposition of finite dimensional associative algebras
-------------------------------------+-------------------------------------
Reporter: virmaux | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: algebra | Resolution:
Keywords: representation | Merged in:
theory | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: u/virmaux/t/16659 | 434765db324c0e6da9ddab9dd4b02632d12703f9
Dependencies: #11111 | Stopgaps:
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Comment (by saliola):
== finite_dimensional_algebras_with_basis.py ==
- the code needs to be cleaned up; for details see
http://www.sagemath.org/doc/developer/coding_basics.html#documentation-
strings
{{{
Product of two elements.
INPUT::
}}}
- insert an extra line here
- also, change :: to : for INPUT blocks
{{{
INPUT::
- ``self``, ``right`` -- two elements
}}}
The beginning of descriptions of the inputs is aligned with the I in
INPUT.
{{{
If B is a SubModuleWithBasis of A, then the
multiplication law of B is
inherited from the multiplication of A.
}}}
The Python and Sage objects should be approperiately wrapped : `B`, `A`,
{{{:class:`SubModuleWithBasis`}}}, ...
{{{
return p.retract( self.lift() * right.lift())
}}}
There should be no space after `p.retract(`.
Delete this line:
{{{
# x[i,j] = product_on_basis(x,i).coefficient(j)
}}}
Delete these lines:
{{{
# Old algorithm:
+ # mat = matrix(self.base_ring(), [
+ # [sum(product_on_basis(x,j).coefficient(i) * c
+ # for i in keys for j,c in
product_on_basis(y,i)) for x in keys]
+ # for y in keys ])
}}}
Wrap the `A` below in single backticks (for latex output):
{{{
Construct the ``side`` A-module generated by ``a``.
}}}
There is some redundancy:
{{{
+ sage: A =
FiniteDimensionalAlgebrasWithBasis(QQ).example()
+ sage: A =
FiniteDimensionalAlgebrasWithBasis(QQ).example(); A
}}}
Add a reference for the algorithm/formula used in `_lift_idempotent`.
There are other possibilities one could use here. Is it work implementing
some of these other ones and giving the user a choice between algorithms?
Does Python / Sage prefer {{{!=}}} to {{{<>}}}?
to be continued ...
--
Ticket URL: <http://trac.sagemath.org/ticket/16659#comment:27>
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