ls_tensor() and tab_dimension() do not match the results in the literature

[hellotosamwang]

I find an error, as follows:

`\ftableau{#}::FilledTableau(dimension=10).

ex:=\ftableau{0,0}{1,1} \ftableau{a,a}{b,b}:

lr_tensor(_);

tab_dimension(_);
`

Paper result:

70785 ⊕ 235950 ⊕ 154440 ⊕ 101640 ⊕ 103950 ⊕ 13860;

However, my result:

680625

When I replicated the algorithm, the results differed from those in the literature. What could be the reason for this discrepancy? Additionally, could you explain the mathematical principles behind the \FilledTableau(dimension=10) and lr_tensor(_) algorithms? What do they represent?

[kpeeters]

Partial duplicate of #339. Things related to explicit manipulation of young tableaux are mostly broken right now. You can still use young tableaux to set symmetries of tensors and to simplify them, but you cannot manipulate or display the tableaux directly.

[hellotosamwang]

Partial duplicate of #339. Things related to explicit manipulation of young tableaux are mostly broken right now. You can still use young tableaux to set symmetries of tensors and to simplify them, but you cannot manipulate or display the tableaux directly.

Okay, displaying commands directly is acceptable, and visualization can be accomplished through other methods. Another question concerns FilledTableau(dimension=value)—what exactly does 'dimension' refer to here? Assuming I understand it as the dimension of the Lie algebra representation space, then for different types of Lie algebras, the same Young tableau representation might have different dimensions. How, then, should one interpret and use this function? I feel that if this isn’t clearly understood, it could easily lead to confusion