I use this code in beamer:
\[
\begin{tikzpicture}[>=angle 90]
\matrix(a)[matrix of math nodes,
row sep=2.5em, column sep=2.5em,
text height=1.5ex, text depth=0.20ex, ampersand replacement=\&]
{\bigwedge^2 S^m\&S^m\&S\&0\\
F_2\&F_1\&S\&0\\};
\draw[->](a-1-1) -- (a-1-2);
\draw[->](a-1-2) -- (a-1-3);
\draw[->](a-1-3) -- (a-1-4);
\draw[->](a-2-1) -- (a-2-2);
\draw[->](a-2-2) -- (a-2-3);
\draw[->](a-2-3) -- (a-2-4);
\draw[->](a-1-1) -- node[auto] {$\gamma$}(a-2-1);
\draw[->](a-1-2) -- node[auto] {$\cong$}(a-2-2);
\draw[double equal sign distance,shorten <=5pt,shorten >=5pt](a-1-3) -- node[auto] {$id$}(a-2-3);
\end{tikzpicture}
\]
but I don't get the double line between (a-1-3) and (a-2-3), why?
(I took this code here: How can I do this diagram with tikz?)