Re: [sage-combinat-devel] KL polynomials for translations in the affine Weyl groups

2015-07-04 Thread Travis Scrimshaw
We also have the native (almost certainly significantly slower) version: sage: R. = LaurentPolynomialRing(QQ) sage: W = WeylGroup(['A',3,1]) sage: K = KazhdanLusztigPolynomial(W, q) sage: P = RootSystem(['A',3,1]).weight_lattice() sage: K.P(W.one(), W.from_reduced_word(P.reduced_word_of_translat

Re: [sage-combinat-devel] KL polynomials for translations in the affine Weyl groups

2015-07-03 Thread Mark Shimozono
Nicolas, To centralize computations, perhaps the translation-to-affine-Weyl-group map should be achieved by coercion in the extended affine Weyl group. The only additional gadget needed would be to construct the embedding of the (co)root lattice into the (co)weight lattice and the map back from

[sage-combinat-devel] KL polynomials for translations in the affine Weyl groups

2015-07-03 Thread Nicolas M. Thiery
Dear Arno, On Tue, Jun 30, 2015 at 12:42:24PM +0200, arno kret wrote: >I'm a mathematician, for a theorem that I am trying to prove I would >like to do some computer experiments, and I was wondering if Sage could >do this in my case. I am contacting you because I saw that you >