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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
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).
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)
Schubert products for the equivariant quantum cohomology of the Grassmannian
(Liz Beazley)
Review the root system plot ticket
Thiéry