Are you looking for something like this:
sage: StandardTableau([[1,2,4],[3,5]]).symmetric_group_action_on_entries(
Permutation(((4,5))) )
[[1, 2, 5], [3, 4]]
If you also wants "straightening" then I guess it is implicit in the action
of implementation of seminormal forms.
Andrew
On Tuesday, 18 February 2014 03:52:46 UTC+11, Nicolas Borie wrote:
>
> Hi all,
>
> Is there currently a way in Sage-combinat to compute the action of a
> permutation over standard tableaux ?
>
> For example, I would like something like :
>
> Permutation([2,1,3,4]) * B([[1,2],[3,4]]) = B([[1,2],[3,4]]) -
> B([[1,3],[2,4]])
>
> This thing is called in French "algorithme de redressement" (In the same
> time, what is the equivalent in English ?) and is related to Ganir
> identity (Or Garnir rules...). They are a lot of thing in combinat but I
> didn't find it... Can someone confirm that or give my a pointer
> otherwise...
>
> Cheers,
> Nicolas B.
>
>
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