On Pauli’s Theorem in the Clifford Algebra \({\varvec{R}}_\mathbf{1,3 } \)

  • S. P. Kuznetsov
  • V. V. Mochalov
  • V. P. ChuevEmail author


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.


A Clifford algebra Pauli’s theorem Zero divisor Inverse operators 



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Authors and Affiliations

  • S. P. Kuznetsov
    • 1
  • V. V. Mochalov
    • 1
  • V. P. Chuev
    • 1
    Email author
  1. 1.CheboksaryRussia

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