/usr/share/doc/cadabra/algorithms/tabstandardform.tex is in cadabra 1.39-0.2ubuntu2.
This file is owned by root:root, with mode 0o644.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 | \cdbalgorithm{tabstandardform}{}
Bring a filled Young tableau to standard form, that is, to a form in
which two horizontally adjacent boxes appear in sorted form. This
requires the use of Garnir symmetries and generically produces a sum
of tableaux. This algorithm acts on objects with
the \subsprop{FilledTableau} property.
\begin{screen}{1,2,3}
\tableau{#}::FilledTableau.
\tableau{b,d}{c,a};
@tabstandardform!(%);
\tableau{a,c}{b,d} - \tableau{a,b}{c,d};
\end{screen}
In the graphical interface this displays as
\begin{equation}
\ftableau{{a}{c},{b}{d}} - \ftableau{{a}{b},{c}{d}};
\end{equation}
\cdbseeprop{FilledTableau}
\cdbseealgo{tabcanonicalise}
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