# Obtaining signed permutation in the bruhat poset in another form

(I edited the question, to make it more clear)

When I input the Bruhat poset of type Bn in Sage as follows

```
W = WeylGroup("B2", prefix="s")
P = W.bruhat_poset()
display(plot(P))
```

the elements look like `s2*s1*s2`

.

Question: Is there a way to represent (in the picture of the poset in Sage) the elements in the form of signed permutation as for example findstat does (see for example http://www.findstat.org/StatisticsDat... ) but so that - is replaced by 0 and brackets and commas are ommited? So for example all signed permutations for $n=2$ would look as follows in this notation:

```
12
102
012
0102
21
201
021
0201
```

(The motivation is that one can use the code in the thread https://ask.sagemath.org/question/562... to obtain the quiver algebra in GAP with names one can regognize later).

Thanks for any help

We have

but this has no Bruhat order method.

And we have

which you may want to try.