On Pauli’s Theorem in the Clifford Algebra R1,3

In this article, in the Clifford algebra R 1 , 3 , we investigated Pauli’s theorem. An algorithm for constructing Pauli’s operator is given. It is shown that the problem of constructing Pauli’s operator is related to the problem of zero divisor in Clifford algebras. Pauli’s operators for generating a basis composed of elements of of first, third or mixed rank are found.