Pauli's spin matrices in higher order

[pallab]

What are the rules to write Pauli's spin matrices in higher-order matrices (especially in 4x4 matrices)

 

[vanhees71]

It's not clear what you are after? Do you mean the case $s=3/2$? Then it's not the Pauli matrices anymore of course, because they represent $s=1/2$ and thus live in another spinor space.

 

[haushofer]

I think the TS refers to constructing representations of the Clifford algebra via direct products of Pauli matrices, but I'm not sure. Could you give a (textbook) reference or some background, Pallab?

 

[pallab]

the question that can we express Pauli's 2x2 matrices for spin 1/2 in higher-order matrices, say 3x3, 4x4 arose in my mind.