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--- advanced_tools:group_theory:su3 [2018/04/15 16:32]
aresmarrero created
+++ advanced_tools:group_theory:su3 [2020/12/26 23:01]
edi [Intuitive]
@@ Line 2: / Line 2: @@
 <tabbox Intuitive>
+The Lie group $SU(3)$ describes abstract "rotations" in a space with three complex dimensions. Each "rotation" is characterized by eight abstract "angles".
-<note tip>
-Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
-</note>
 <tabbox Concrete>
 **Representations**
-[{{ :advanced_tools:group_theory:su3reps.png?nolink |Diagram by Eduard Sackinger}}]
+The diagram below shows the defining (3-dimensional) representation of $SU(3)$ in its upper branch and the 8-dimensional adjoint representations of the same group in its lower branch. The adjoint representation can be rewritten such that it acts on 8-dimensional vectors (as opposed to 3x3 matrices) by regular matrix-vector multiplication.
+[{{ :advanced_tools:group_theory:representation_theory:su3_adjoint.jpg?nolink }}]
+For more groups and their representations see [[https://esackinger.wordpress.com/|Fun with Symmetry]].
 <tabbox Abstract>