Hi Nicolas, On 26 Mrz., 11:00, Simon King <simon.k...@uni-jena.de> wrote: > Sorry, I first saw your post on sage-algebra and answered there, > although it might have been better to do it on combinat-devel. Anyway, > I am very unhappy with the documentation of the "...WithBasis" stuff. > After several attempts, I still do not understand how to do even the > most basic operations with it.
Rather than trying to understand how AlgebrasWithBasis(QQ).example().basis() is implemented, it might be better to ask what purpose F.basis() (F a free algebra with generators x,y,z) should have, in general? I guess that F.basis() should have some index set. Here, it seems natural to me to choose M=FreeMonoid(3,['x','y','z']): If m is in M then F.basis()[m] returns the corresponding element of F. Is that the only requirement to F.basis()? Concerning compatibility: Rather than indexing the basis with the elements of M, one could index it by the words in the alphabet 'x','y','z'. Is there a protocol for doing conversion by changing the index set, yet? Such conversions could indeed facilitate consistency between different implementations of "the same" algebra. Cheers, Simon -- 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.
