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

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

Programs

Databases