Representation of Group OH: Ex, Ey & Ez

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Discussion Overview

The discussion revolves around the representation of the group Oh, specifically in relation to the polar vector E and its components Ex, Ey, and Ez. Participants are exploring the mathematical and conceptual aspects of this representation, including whether E serves as a basis.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the representation of the group Oh as O x i and whether the polar vector E, with components Ex, Ey, and Ez, can be considered a basis.
  • Another participant questions the identity of the group Oh and seeks clarification on the notation \vec{E}=\left(E_{x},E_{y},E_{z}\right).
  • A different participant asserts that E is a polar vector and suggests it can be viewed as the basis of a cube represented in Oh.
  • There is a repeated inquiry about the identity of the group Oh, indicating a lack of clarity among participants.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the identity and properties of the group Oh, with multiple questions raised and no consensus reached on the representation or the role of the polar vector E.

Contextual Notes

There are unresolved questions about the definitions and properties of the group Oh and the polar vector E, as well as the implications of considering E as a basis.

PhysKid24
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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 [itex]\vec{E}=\left(E_{x},E_{y},E_{z}\right)[/itex]...?

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

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