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\section*{todo list}
Priorities:
\begin{itemize}
\item[Noah] Decide what references to use for generators and relations
for BMW/Hecke.
\item[Noah] Write a paragraph about other constructions of $D_{2n}$.
Mueger: \cite{MR1749250}, Feng: \cite{MR1867572}.
\item[Emily]  Think about table of contents
\end{itemize}

\begin{enumerate}
\item Add irreducibility to the main theorem?
\item Describe the inclusion of $A_{4n-3}$ into $D_{2n}$, and what
this does to projections.
\hrule%
\end{enumerate}