Sage Days 45 Coding Sprint Projects

This is the project page for Sage Days 45, and more generaly ICERM's semester on Automorphic Forms, Combinatorial Representation Theory and Multiple Dirichlet Series.

Below is a list of proposed projects. You are welcome to add more projects or add yourself as participant for existing projects! The following feature request guidelines may help you specify useful and realistic project descriptions; if you are at ICERM, you are more than welcome to come discuss about those with the Sage fans there!

Extended affine Weyl groups, affine Iwahori Hecke algebras, and nonsymmetric Macdonald polynomials

Bump, Schilling, Shimozono, Thiéry, Pons

This project was started during Sage Days 40 by Dan Bump, Dan Orr, Anne Schilling, Mark Shimozono and Nicolas Thiéry and preliminary patches are in the sage-combinat queue (see extended_affine_weyl_groups_sd40.patch and affine_iwahori_hecke_algebras.patch).

Viviane Pons : I have some programs already in sage-combinat on non symmetric Macdonald polynomials, see trac_6629_abstract_ring_of_multivariate_polynomials_with_several_bases_vp.patch

Finalization of the Coxeter3 integration into Sage

Schilling, Thiéry

This would bring a faster implementation of Kazhdan-Lusztig polynomials to Sage.

See Trac Ticket 12912.

Further Kazdhan-Lusztig functionalities

Brant Jones

Quantum Schubert products in general types (in particular type C) for the full flag variety

Liz Beazley

Equivariant puzzle rule

Liz Beazley, Anne Schilling

Review the root system plot ticket

Borie, Thiéry

Review the affine ambient space patch

Thiéry

Finalization of Denton's affine symmetric group patch

And possibly generic implementation of (affine) Coxeter groups as (affine) permutation groups, using (affine) permutations of the roots or the ambient space.

Berg, Thiéry

Finalization of the partition options patch

Travis Scrimshaw and Andrew Mathas (and Nicolas)

Crystals and rigged configurations code and dependencies

Travis Scrimshaw

Officially deprecate CombinatorialClass

I believe after #13605, there are only a few more left...

Travis Scrimshaw Vincent Delecroix

Implement a general RSK

Travis Scrimshaw

Split and finalize languages

Vincent Delecroix and Travis Scrimshaw