On Friday, June 1, 2018 at 7:25:21 PM UTC+10, Bruce wrote:
>
> I am confused about the interface between SkewTableaux and Tableaux.
> I suspect this is something people are aware of.
>
> The points I have come across (and I doubt these are the only ones) are:
>
> A SkewTableau can be created from a chain of partitions using the keyword 
> chain.
> This does not work for Tableau. There is a work around:
> given a chain of partitions which starts with the empty partition,
> create the skew tableau using the chain keyword,
> convert to a list,
> use this to construct a tableau.
>

Most likely because nobody implemented it. Please add.

>
> Evacuation and promotion are not defined for skew tableaux.
> Is this because the definition does not make sense or because
> no-one has yet included them?
>

IDK. My initial thought is that these are well-defined, but I don't know if 
you get the usual properties for skew tableaux (and hence, are 
"uninteresting"). Yet, it is most likely the latter case.

>
> Mathematically, a tableau is a skew tableau with empty inner shape.
> Many (most?) methods make sense for skew tableaux.
> Ideally, these methods would be defined for skew tableaux
> and made available to straight tableaux. I don't know the
> appropriate mechanism for doing this in sage but I expect
> people have ideas or even plans on this.
>

I believe part of the reason for this is that it takes a bit of extra 
processing power (not to mention code) to check for the None's that can 
appear in a skew tableau. Plus the general class hierarchy for the (skew) 
tableau code needs some cleanup (there is at least one stalled ticket 
toward this effect). 

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