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--- advanced_tools:group_theory:lorentz_group [2018/05/04 09:53]
jakobadmin ↷ Links adapted because of a move operation
+++ advanced_tools:group_theory:lorentz_group [2022/09/12 00:07]
edi [Abstract]
@@ Line 11: / Line 11: @@
 **Definition of the Lorentz transformations**
-It follows from the postulates of [[theories:special_relativity|special relativity]] that
+It follows from the postulates of [[models:special_relativity|special relativity]] that
 $d s^2 = \eta^{\mu \nu} dx_\mu dx_\nu$ stays exactly the same in all inertial frames of reference:
 \begin{equation} ds'^2 = dx'_\mu dx'_\nu \eta^{\mu\nu} = ds^2 = dx_\mu dx_\nu \eta^{\mu\nu} \, ,\end{equation}
@@ Line 196: / Line 196: @@
 See also, section 5.5 at page 79 in http://www.math.columbia.edu/~woit/QM/qmbook.pdf
  </WRAP>
+----
+**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]].
+[{{ :advanced_tools:group_theory:representation_theory:lorentz_irreps.jpg?nolink }}]
 <tabbox Why is it interesting?>