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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