Differences

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--- advanced_tools:group_theory:representation_theory:dean_proffesor_reza_sanaye [2023/02/20 18:48]
edi [Intuitive]
+++ advanced_tools:group_theory:representation_theory:dean_proffesor_reza_sanaye [2023/03/19 21:45]
edi [Concrete]
@@ Line 3: / Line 3: @@
 <tabbox Intuitive>
-The trivial representation maps all group elements to the identity matrix. This representation exists for any group.
+The trivial representation maps all group elements to the identity element. This representation exists for any group.
-Spin-$0$ particles and fields transform under the trivial representation of $SU(2)$. That is, their spin value does not change under rotation.
+Spin-$0$ particles transform under the trivial representation of $SU(2)$. That is, their spin value does not change under rotation.
 The action (and often the Lagrangian) transforms under the trivial representation of the Lorentz group and the relevant gauge  groups. That is, the action is not affected by these symmetry transformations.
@@ Line 17: / Line 17: @@
 [{{ :advanced_tools:group_theory:representation_theory:su2_1d_rep.jpg?nolink }}]
-For a more detailed explanation of this diagram see [[https://esackinger.wordpress.com/|Fun with Symmetry]].
+For a more detailed explanation of this diagram see [[https://esackinger.wordpress.com/blog/lie-groups-and-their-representations/#su2_1d_rep|Fun with Symmetry]].
 <tabbox Abstract>