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\cdbalgorithm{tabdimension}{}
Compute the dimension of the representation corresponding to a tableau
or filled tableau. This algorithm acts on objects with
the \subsprop{Tableau} or \subsprop{FilledTableau} property, which
should have the {\tt dimension} argument set.
\begin{screen}{1,2,3,5,6,7}
\tableau{#}::Tableau(dimension=10).
\tableau{2}{2};
@tabdimension!(%);
825;
\tableau{#}::Tableau(dimension=8).
\tableau{2}{2};
@tabdimension!(%);
336;
\end{screen}
The computation uses the standard hook rule.
\cdbseeprop{Tableau}
\cdbseeprop{FilledTableau}
\cdbseealgo{tabdimension}
\cdbseealgo{decompose_product}
\cdbseealgo{tabcanonicalise}
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