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--- advanced_tools:group_theory:so3 [2020/12/05 18:39]
edi [Intuitive]
+++ advanced_tools:group_theory:so3 [2023/04/17 03:28] (current)
edi [Concrete]
@@ Line 28: / Line 28: @@
 **Representations**
-The diagram below shows the defining (3-dimensional) representation of $SO(3)$ in its upper branch and a 5-dimensional representation of the same group in its lower branch.
+The diagram below shows the defining (3-dimensional) representation of $SO(3)$ in its upper branch and a 5-dimensional representation of the same group in its lower branch. For a more detailed explanation of this diagram, see [[https://esackinger.wordpress.com/blog/lie-groups-and-their-representations/#so3_3d_5d_reps|Fun with Symmetry]].
 [{{ :so3_3d_5d_reps.jpg?nolink }}]
-Instead of using 3x3 matrices for the Lie-algebra elements of the defining representation, we can also use 3-dimensional vectors (red box in the diagram below). Then, the Lie-algebra elements act on the representation space by means of the cross product (lower branch of the diagram).
+Instead of using 3x3 matrices for the Lie-algebra elements of the defining representation, we can also use 3-dimensional vectors (red box in the diagram below). Then, the Lie-algebra elements act on the representation space by means of the cross product (lower branch of the diagram). For a more detailed explanation of this diagram, see [[https://esackinger.wordpress.com/blog/lie-groups-and-their-representations/#so3_cross|Fun with Symmetry]].
 [{{ :advanced_tools:group_theory:so3_cross.jpg?nolink }}]
-For a more detailed explanation of these diagrams and additional representations of $SO(3)$, see [[https://esackinger.wordpress.com/|Fun with Symmetry]].

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