Lorentz Group [The Physics Travel Guide]

--- advanced_tools:group_theory:lorentz_group [2018/04/08 17:13]
georgefarr ↷ Links adapted because of a move operation
+++ advanced_tools:group_theory:lorentz_group [2025/03/04 01:00] (current)
edi [Abstract]
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 See also, section 5.5 at page 79 in http://www.math.columbia.edu/~woit/QM/qmbook.pdf
  </WRAP>
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+**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/appendices/#relativity|Fun with Symmetry]].
+[{{ :advanced_tools:group_theory:representation_theory:lorentz_irreps.jpg?nolink }}]
+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 }}]
 <tabbox Why is it interesting?>