Representation of Group OH: Ex, Ey & Ez

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The discussion centers on the representation of the polar vector E in the context of group Oh, specifically questioning its components Ex, Ey, and Ez. Participants seek clarification on how to demonstrate that E serves as a basis for this group. Daniel asserts that E can be viewed as the basis of a cube represented in the Oh symmetry group. The conversation highlights the need for a deeper understanding of group theory and its application to polar vectors. Overall, the thread emphasizes the relationship between the polar vector E and the symmetry properties of group Oh.
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does anyone know what representation in group Oh = O x i , is the polar vector E a basis? E has components Ex, Ey, and Ez. How would I go about showing this? Thanks.
 
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What group is that...?And who's \vec{E}=\left(E_{x},E_{y},E_{z}\right)...?

Daniel.
 
E is a polar vector, can be thought of to be the basis of a cube represented in Oh
 
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