Hi!

I just noticed that we have

sage: W = WeylGroup(["A",3,1])
sage: w = W.an_element()
sage: w.bruhat_lower_covers

but not

sage: w.bruhat_upper_covers

Is there a reason for this? Both methods do exist for weak order.

Using the revised poset code that some of you are working on, is it now possible
to get upper covers for infinite posets?

Best,

Anne

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