On Tue, Jan 03, 2012 at 01:17:14AM -0800, Bruce wrote: > This seems to me to be either a bug or a deficiency: > > sage: KZ = WeylCharacterRing('A1',base_ring=ZZ,style="coroots") > sage: KS = > WeylCharacterRing('A1',base_ring=SFASchur(ZZ),style="coroots") > sage: a = KZ([1]) > sage: KS(a) > > produces an error. > > More generally I was hoping that given (commutative) rings R and S and > a ring homomorphism > phi : R --> S that the category framework would then provide the > homomorphism from > WeylCharacterRing('A1',base_ring=R) to > WeylCharacterRing('A1',base_ring=S) > but in view of the above I have now lost confidence.
This would be a natural feature, but it is indeed not yet implemented. It should not be difficult, but requires a bit of thought to integrate properly in the coercion framework. Please create a ticket! Maybe this will trigger a volunteer :-) > Is there a simple way to achieve this? Here R would probably be > symmetric functions and there are several definitions of the same > homomorphism, depending on the choice of basis. You can construct the homomorphism by hand, and register it: sage: KZ = WeylCharacterRing('A1',base_ring=ZZ,style="coroots") sage: KS = WeylCharacterRing('A1',base_ring=SFASchur(ZZ),style="coroots") sage: a = KZ([1]) sage: phi = KZ.module_morphism(KS.monomial) sage: phi(a) s[]*A1(1) sage: phi.register_as_coercion() sage: KS(a) s[]*A1(1) Note that the registering must be done early in the Sage session (before any coercion lookup between KZ and KS. Cheers, Nicolas -- Nicolas M. ThiƩry "Isil" <nthi...@users.sf.net> http://Nicolas.Thiery.name/ -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To post to this group, send email to sage-combinat-devel@googlegroups.com. To unsubscribe from this group, send email to sage-combinat-devel+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/sage-combinat-devel?hl=en.