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advanced_tools:group_theory:so3

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SO(3)

Intuitive

Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.

Concrete

Representations

Diagram by Eduard Sackinger

The diagram below shows the defining 3-dimensional representation of $SO(3)$ in its upper branch. A 5-dimensional representations of the same group is shown in the lower branch. For an explanation of this diagram and more representations of $SO(3)$ see Fun with Symmetry.

so3_3d_5d_reps.jpg

Abstract

The motto in this section is: the higher the level of abstraction, the better.

Why is it interesting?

advanced_tools/group_theory/so3.1606583765.txt.gz · Last modified: 2020/11/28 18:16 by edi