✎ Tensor Product Representation [The Physics Travel Guide]

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====== Tensor Product Representation ======

<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> 
**Example**

The diagram below shows the defining representation of $SU(2)$ in its upper branch. To construct the tensor-product representation of two copies of the defining representation, we let it act on the tensor-product space as shown in the lower branch. The resulting 4-dimensional representation is reducible, breaking up into a 1- and 3-dimensional irreducible representation.

[{{ :advanced_tools:group_theory:representation_theory:su2_tensor_rep.jpg?nolink }}]

For a more detailed explanation of this diagram see [[https://esackinger.wordpress.com/|Fun with Symmetry]].
 
<tabbox Abstract>

<note tip>
The motto in this section is: //the higher the level of abstraction, the better//.
</note>

/*<tabbox FAQ>*/

/*<tabbox History>*/

</tabbox>

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