advanced_tools:group_theory:lorentz_group
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advanced_tools:group_theory:lorentz_group [2022/09/24 02:14] edi [Abstract] |
advanced_tools:group_theory:lorentz_group [2025/03/04 01:00] (current) edi [Abstract] |
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| **Graphical Summary** | **Graphical Summary** | ||
| - | The picture below shows the weight diagrams of some important irreducible representations of the (double cover of the) Lorentz group (right) and, for comparison, some irreducible representations of $SU(2)$ (left). For a more detailed explanation of this picture see [[https://esackinger.wordpress.com/|Fun with Symmetry]]. | + | The picture below shows the weight diagrams of some important irreducible representations of the (double cover of the) Lorentz group (right) and, for comparison, some irreducible representations of $SU(2)$ (left). For a more detailed explanation of this picture see [[https://esackinger.wordpress.com/appendices/#relativity|Fun with Symmetry]]. |
| [{{ :advanced_tools:group_theory:representation_theory:lorentz_irreps.jpg?nolink }}] | [{{ :advanced_tools:group_theory:representation_theory:lorentz_irreps.jpg?nolink }}] | ||
| - | The following diagram illustrates the relationship between the groups of rotation (in 3D and 4D Euclidean space) and the Lorentz group. For a more detailed explanation of this diagram see [[https://esackinger.wordpress.com/|Fun with Symmetry]]. | + | The following diagram illustrates the relationship between the groups of rotation $O(3)$ and $O(4)$, in 3D and 4D Euclidean space, respectively, and the Lorentz group $O(1,3)$. For a more detailed explanation of this diagram see [[https://esackinger.wordpress.com/appendices/#relativity|Fun with Symmetry]]. |
| [{{ :advanced_tools:group_theory:representation_theory:rotation_to_lorentz.jpg?nolink }}] | [{{ :advanced_tools:group_theory:representation_theory:rotation_to_lorentz.jpg?nolink }}] | ||
advanced_tools/group_theory/lorentz_group.1663978477.txt.gz · Last modified: 2022/09/24 02:14 by edi
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