... ok! Found it:
sage: P =
Permutations([1,2,3])
sage: elmts =
P.elements_of_length(3)
sage: e =
next(elmts)
sage:
e
[3, 2, 1]
sage:
e.to_matrix()
[0 0 1]
[0 1 0]
[1 0 0]
... somehow was thinking of using too technical things.
Le lundi 23 novembre 2020 à 14:44:00 UTC+1, jplab a écrit :
> Hi all,
>
> I would have posted this question on AskSage, but I can't seem to be able
> to connect through my google account (Authorization Error?). So I put the
> question here.
>
> I would like to know how to iterate through permutation matrices of a
> fixed size ($n\times n$) by breadth-first-search (by length in the weak
> order poset). Somehow, this is pretty simple, but I can't seem to figure
> this out from the jungle of methods available.
>
> I do know that it is possible to get the elements by lengths in the
> CoxeterGroup(['A',n-1]) structure, but I want the permutation matrix
> associate to the element.
>
> Somehow, tons of methods are available but the obvious
> "permutation_matrix" is not there.
>
> Any hint? I know I missed something somewhere!
>
> J-P
>
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