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Comment: Added a bunch of stuff from the discussion of Chris Godsil's wishlist for Sage
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=== Combinatorial Species === === Infinite-dimensional polynomial rings === |
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* Applet / javascript for dragging/repositioning vertices * Edge-labeled isomorphism checking |
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* Graph databases? See Trac #1307 and #1308. | |
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See Trac #1305. | See http://trac.sagemath.org/sage_trac/ticket/1305 |
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See Trac #1322. | See http://trac.sagemath.org/sage_trac/ticket/1322 === Lie algebras === KiranKedlaya: I'd like to be able to manipulate representations of Lie algebras. Here I'm thinking of representations as lists of highest weights (indicating irreducibles) with multiplicities. I'd like to be able to perform representation-theoretic operations (tensor products, exterior powers, symmetric powers, maybe other Schur functors) on such lists. This may be accomplished by wrapping LiE, which we currently provide as an optional spkg. (Some of this may also be provided by Symmetrica.) I plan to discuss this with Mike Hansen before and during the workshop. === Crystal Graphs === === Posets === |
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* Xin's partial fraction algorithm for MacMahon's partition analysis | |
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* Graph databases * See http://trac.sagemath.org/sage_trac/ticket/1307 * and http://trac.sagemath.org/sage_trac/ticket/1308 |
This wishlist should be a list of features, software, algorithms, databases, or anything else you'd like to see in Sage.
Features
Combinatorial Species
Infinite-dimensional polynomial rings
Graphs
- Applet / javascript for dragging/repositioning vertices
- Edge-labeled isomorphism checking
- Graphs on surfaces
From Robert Miller: > Comments: Emily Kirkman has done some extensive work on embedding > graphs in surfaces, and I'd love to see some conversation about this > at Sage Days 7.
Incidence Structures
See http://trac.sagemath.org/sage_trac/ticket/1305
Interactive widgets in the notebook
See http://trac.sagemath.org/sage_trac/ticket/1322
Lie algebras
KiranKedlaya: I'd like to be able to manipulate representations of Lie algebras. Here I'm thinking of representations as lists of highest weights (indicating irreducibles) with multiplicities. I'd like to be able to perform representation-theoretic operations (tensor products, exterior powers, symmetric powers, maybe other Schur functors) on such lists. This may be accomplished by wrapping LiE, which we currently provide as an optional spkg. (Some of this may also be provided by Symmetrica.) I plan to discuss this with Mike Hansen before and during the workshop.
Crystal Graphs
Posets
Algorithms
Xin's partial fraction algorithm for MacMahon's partition analysis
Programs
Databases
- Graph databases