#11111: More support for finite dimensional modules and algebras with basis
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Reporter: nthiery |
Owner: nthiery
Type: enhancement |
Status: new
Priority: major |
Milestone: sage-5.0
Component: categories |
Resolution:
Keywords: | Work
issues:
Report Upstream: N/A |
Reviewers:
Authors: Florent Hivert, Franco Saliola, Nicolas M. ThiƩry |
Merged in:
Dependencies: |
Stopgaps:
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Description changed by nthiery:
Old description:
> The patch under development on the Sage-Combinat queue adds generic
> features around morphisms, subspaces, quotients, ... for finite
> dimensional modules and algebras with basis.
>
> [http://combinat.sagemath.org/patches/file/tip/trac_11111
> -finite_dimensional_modules-nt.patch]
New description:
More support for finite dimensional modules and algebras with basis:
* Echelon form of list of vectors
* Submodules and quotients
* Example of a finite dimensional algebra with basis:
the path algebra of the Kronecker quiver
* Category SemisimpleAlgebras(...)
* Finite group algebras are semisimple in characteristic 0
* Center, radical, and semisimple quotient of a finite dimensional algebra
* Annihilator
* Matrix and inverse of module morphisms
* Some more support for term orders in CombinatorialFreeModule
* map_support_skip_none in ModulesWithBasis
The patch under development on the Sage-Combinat queue is close to
completion
[http://combinat.sagemath.org/patches/file/tip/trac_11111
-finite_dimensional_modules-nt.patch]
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11111#comment:4>
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