- #1
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Hi,
I have been wanting to do this for a while but not too sure how to go about it. I have the following geometric algebra
[itex]\lbrace\mathbf{e}_{i}\rbrace_{i=0}^{3}[/itex] which satisfy the following relations: [tex]\mathbf{e}_{i}\mathbf{e}_{j}=-\mathbf{e}_{j}\mathbf{e}_{i}[/tex] and [tex]\mathbf{e}_{1}^{2}=\mathbf{e}_{2}^{2}=\mathbf{e}_{3}^{3}=1\quad \mathbf{e}_{0}^{2}=\frac{1}{\varepsilon}[/tex]
There are 16 elements in this geometric algebra. I thought about doing it as one long vector but didn't know if there was a better way of doing it. I also am not quite sure about dealing with the [itex]\varepsilon[/itex], any suggestions?
Mat
I have been wanting to do this for a while but not too sure how to go about it. I have the following geometric algebra
[itex]\lbrace\mathbf{e}_{i}\rbrace_{i=0}^{3}[/itex] which satisfy the following relations: [tex]\mathbf{e}_{i}\mathbf{e}_{j}=-\mathbf{e}_{j}\mathbf{e}_{i}[/tex] and [tex]\mathbf{e}_{1}^{2}=\mathbf{e}_{2}^{2}=\mathbf{e}_{3}^{3}=1\quad \mathbf{e}_{0}^{2}=\frac{1}{\varepsilon}[/tex]
There are 16 elements in this geometric algebra. I thought about doing it as one long vector but didn't know if there was a better way of doing it. I also am not quite sure about dealing with the [itex]\varepsilon[/itex], any suggestions?
Mat