Design discussion about Hecke Algebras
Quite a few people expressed interested in (affine) Iwahori-Hecke algebras, including NicolasBorie, DanBump, BrantJones, VincentFeray, FlorentHivert, MikeHansen, AndrewMathas, AnneSchilling, NicolasThiéry.
There are pieces of code for it in different places in MuPAD-Combinat, also a bit in Sage, etc. It's time for setting up where we want to go, and cleanup the mess!
http://mupad-combinat.svn.sourceforge.net/viewvc/mupad-combinat/trunk/MuPAD-Combinat/lib/EXAMPLES/HeckeAlgebra.mu http://mupad-combinat.svn.sourceforge.net/viewvc/mupad-combinat/trunk/MuPAD-Combinat/lib/EXAMPLES/HeckeGroupAlgebra.mu http://mupad-combinat.svn.sourceforge.net/viewvc/mupad-combinat/trunk/MuPAD-Combinat/experimental/2006-06-27-HeckeCoxeter.mu http://www.mupad-combinat.svn.sourceforge.net:80/viewvc/mupad-combinat/trunk/MuPAD-Combinat/experimental/2008-02-13-HeckeSpechtModules.mu
Here is a first draft of user story describing how we would want to use this algebra. Please expand and comment!