/usr/share/doc/cadabra/properties/SelfDual.tex is in cadabra 1.46-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 | \cdbproperty{SelfDual}{}
Make a tensor fully anti-symmetric as well as self-dual. The
conventions used are that self-duality means
\begin{equation}
F_{\mu_1\cdots \mu_n}
= \frac{1}{n!} \epsilon_{\mu_1\cdots\mu_n \mu_{n+1}\cdots \mu_{2n}} F_{\mu_{n+1}\cdots\mu_{2n}}\,.
\end{equation}
This property used by the Young projection algorithms and
the \subscommand{dualise\_tensor} algorithm, among others.
\cdbseeprop{AntiSelfDual}
\cdbseealgo{dualise_tensor}
\cdbseealgo{young_project_tensor}
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