====== The Peter-Weyl Theorem ======



<tabbox Intuitive> 

<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> 

<blockquote>“A real, connected, semi-simple Lie group G is compact if and only if its corresponding real Lie algebra is compact.” <cite>https://campusvirtual.univalle.edu.co/moodle/pluginfile.php/66702/mod_resource/content/0/Lie-Stetz-U-Oregon.pdf</cite></blockquote>
 
<tabbox Abstract> 

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

  
<tabbox Why is it interesting?> 

</tabbox>