Why is there no Catan matrix/gauge built in Mathematica?

I noticed that there is PauliMatrix command built in Mathematica, as shown below:

PauliMatrix /@ {1, 2, 3} // MatrixForm

OTOH, the Cartan matrix/gauge is also popular, as commented here.

So, I want to know why is there no Catan matrix/gauge built in Mathematica?

Regards,
HZ