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advanced_tools:group_theory:so_2 [2023/04/17 03:30] edi [Concrete] |
advanced_tools:group_theory:so_2 [2025/03/08 21:36] (current) edi [Concrete] |
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**Representations** | **Representations** | ||
- | The diagram below shows the (2-dimensional) defining representation of $SO(2)$ in its upper branch and a 4-dimensional, reducible representation of the same group in the lower branch. For a more detailed explanation of this diagram and representations of other Lie groups see [[https://esackinger.wordpress.com/blog/lie-groups-and-their-representations/#so2_2d_4d_reps|Fun with Symmetry]]. | + | The diagram below shows the (2-dimensional) defining representation of $SO(2)$ in its upper branch and a 4-dimensional, reducible representation of the same group in the lower branch. For a more detailed explanation of this diagram and representations of other Lie groups see [[https://esackinger.wordpress.com/rotation-in-2-dimensions-and-electromagnetism/#so2|Fun with Symmetry]]. |
[{{ :advanced_tools:group_theory:representation_theory:so2_2d_4d_reps.jpg?nolink }}] | [{{ :advanced_tools:group_theory:representation_theory:so2_2d_4d_reps.jpg?nolink }}] |