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Hi Travis, Darij and .... ,

The code for weak tableaux is now "finished" both on the sage-combinat queue
and trac at

http://trac.sagemath.org/sage_trac/ticket/12250

It currently

- - returns weight as a tuple
- - takes as input

  WeakTableaux(k, outer_shape, weight, inner_shape = [], representation = 
'core')

Travis, outer_shape and inner_shape are cores and not partitions (except in the 
'bounded'
representation), so SkewPartition cannot be used in this case anyway.

Darij, the tableaux are semistandard unless the weight is [1,1,...,1].

Best,

Anne



On 7/13/13 6:51 AM, Travis Scrimshaw wrote:
> Hey,
> 
>   T = WeakTableaux(3, [4,1], [2]) 
>>
>>   would now mean weak standard tableaux of outer shape [4,1] and inner 
>> shape [2] instead 
>>   of shape [4,1] and weight [2]. 
>>
>>
> With this I would naturally expect (weak) tableaux of shape [4, 1] and 
> weight [2] and not skew shapes. So I'm supportive of putting the inner 
> after weight. (Although I think if a skew shape, or something that can be 
> made into a skew shape such as [[2, 1], [1]], is passed as the first arg, 
> then it should be the skew tableaux.)
> 
> For the weight as tuple, if we do have the return type as a tuple, we could 
> make weight() into a cached method (I'm not saying we should at this 
> point). Other than that, I don't think it makes that much of a difference.
> 
> Best,
> Travis
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