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advanced_tools:group_theory:lorentz_group [2022/09/18 03:12]
edi [Abstract]
advanced_tools:group_theory:lorentz_group [2022/09/24 02:14]
edi [Abstract]
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 **Graphical Summary** **Graphical Summary**
  
-The picture below shows the weight diagrams of some important representations of the (double cover of the) Lorentz group (right) and, for comparison, some 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/​|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 rotation (in 3D and 4D Euclidean space) and Lorentz ​transformation (in space-time). 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 (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]].
  
 [{{ :​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.txt · Last modified: 2023/05/20 19:32 by edi