Differences

This shows you the differences between two versions of the page.

--- advanced_tools:group_theory:lorentz_group [2022/09/18 03:12]
edi [Abstract]
+++ advanced_tools:group_theory:lorentz_group [2023/05/20 19:32] (current)
edi [Abstract]
@@ Line 201: / Line 201: @@
 **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/blog/lie-groups-and-their-representations/#lorentz_irreps|Fun with Symmetry]].
 [{{ :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 $O(3)$ 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/blog/lie-groups-and-their-representations/#rotation_to_lorentz|Fun with Symmetry]].
 [{{ :advanced_tools:group_theory:representation_theory:rotation_to_lorentz.jpg?nolink }}]

User Tools

Site Tools

Differences

Page Tools