Benedict Irwin edited Sketchy Generation.tex  over 9 years ago

Commit id: 65dfeb5939561a7144216b209e4923a9d109d9ad

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-\begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix} \to\begin{bmatrix}0 & 0 & -1 \\ 0 & 0 & 0 \\ 1 & 0 & 0\end{bmatrix}_2 \\  \begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix} \to\begin{bmatrix}0 & 1 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 0\end{bmatrix}_3  \end{equation} Then in some sense the formula \begin{equation}  \epsilon_{ijk}= \textbf{i}\epsilon_{jk} -\textbf{j}\epsilon_{ik} + \textbf{k}\epsilon_{ij}  \end{equation}  holds.