Re: [sage-combinat-devel] Re: Iwahori Hecke algebra and Kazhdan-Lusztig patches

2010-01-05 Thread Nicolas M. Thiery
On Tue, Jan 05, 2010 at 09:04:13PM -0800, bump wrote: > I reposted the iwahori.patch on the trac server. The posted version > includes > Nicolas' two patches from the combinat queue. Ok. > I did not qfold the patches on the queue, but if you want to do > that, the resulting patch Ok. > There is

Re: [sage-combinat-devel] Re: Affine Hecke algebras

2010-01-05 Thread Nicolas M. Thiery
On Tue, Jan 05, 2010 at 09:09:36PM -0800, bump wrote: > > By [Kac, Proposition 6.5] the affine Weyl group is a semidirect > > product of the finite Weyl group and translations in the coroot lattice. > > The extended affine Weyl group uses the coweight lattice instead. > > Elements in the extended a

[sage-combinat-devel] Re: Affine Hecke algebras

2010-01-05 Thread bump
> By [Kac, Proposition 6.5] the affine Weyl group is a semidirect > product of the finite Weyl group and translations in the coroot lattice. > The extended affine Weyl group uses the coweight lattice instead. > Elements in the extended affine Weyl group can also be expressed > as elements in the af

[sage-combinat-devel] Re: Iwahori Hecke algebra and Kazhdan-Lusztig patches

2010-01-05 Thread bump
I reposted the iwahori.patch on the trac server. The posted version includes Nicolas' two patches from the combinat queue. I did not qfold the patches on the queue, but if you want to do that, the resulting patch There is one issue which remains. There is a query in the source (from Nicolas) as t

Re: [sage-combinat-devel] Affine Hecke algebras

2010-01-05 Thread Anne Schilling
Dear Dan, I am not so familiar with the Iwahori and Matsumoto set-up, but I assume, as Nicolas mentioned before, this is equivalent to the extended affine Weyl group, see for example Section 2.4 in http://front.math.ucdavis.edu/0605.5451 By [Kac, Proposition 6.5] the affine Weyl group is a semid

Re: [sage-combinat-devel] Iwahori Hecke algebra and Kazhdan-Lusztig patches

2010-01-05 Thread Daniel Bump
> Dan: given the amount of change, let me know if it's best to keep the > reviewer's patch separated, or to fold the two of them before you > review my changes. The reviewer patch is big enough that I need to study the changes, so let's keep them separated for now. About the tests, I several tim

Re: [sage-combinat-devel] Iwahori Hecke algebra and Kazhdan-Lusztig patches

2010-01-05 Thread Nicolas M. Thiery
On Tue, Jan 05, 2010 at 03:11:13PM +0100, Nicolas M. Thiery wrote: > On Mon, Jan 04, 2010 at 02:39:33PM -0800, Anne Schilling wrote: > > When specifying both parameters q1=q2=0, should one obtain the > > nilCoxeter algebra, so s1^2=0? However, the code seems to give: > > > > sage: R = IwahoriHecke

Re: [sage-combinat-devel] Iwahori Hecke algebra and Kazhdan-Lusztig patches

2010-01-05 Thread Nicolas M. Thiery
On Mon, Jan 04, 2010 at 02:39:33PM -0800, Anne Schilling wrote: > When specifying both parameters q1=q2=0, should one obtain the > nilCoxeter algebra, so s1^2=0? However, the code seems to give: > > sage: R = IwahoriHeckeAlgebraT("A3",0,0,prefix = "s") > sage: [s1,s2,s3] = R.algebra_generators() >

Re: [sage-combinat-devel] Iwahori Hecke algebra and Kazhdan-Lusztig patches

2010-01-05 Thread Nicolas M. Thiery
On Mon, Jan 04, 2010 at 02:39:33PM -0800, Anne Schilling wrote: > Also, I get some test failures for 7729 (they all seem trivial since the order > of the summands is just interchanged), but nonetheless: Same thing here. I just imported the patch in the Sage-Combinat queue, and added a patch that