- #1

mnb96

- 715

- 5

let's consider, for example, the Clifford algebra CL(2,0) and the following mapping

*f*for an arbitrary multivector:

[tex]a + b\mathbf{e_1}+c\mathbf{e_2}+d\mathbf{e_{12}} \longmapsto a\mathbf{e_{12}} + b\mathbf{e_1}+c\mathbf{e_2}+d[/tex]

For vector spaces R^n we can permute the coordinates of vectors by a

*linear*(and orthogonal) transformation defined as a

*permutation matrix*.

Is it possible to do something similar for multivectors? or should we just say that we are applying a mapping [itex]f:\mathcal{C}\ell_{2,0} \rightarrow \mathcal{C}\ell_{2,0}[/itex] ?

Thanks.