Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism

  title={Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism},
  author={D. Shirokov},
  journal={Theoretical and Mathematical Physics},
  • D. Shirokov
  • Published 2013
  • Mathematics
  • Theoretical and Mathematical Physics
  • We discuss a generalized Pauli theorem and its possible applications for describing n-dimensional (Dirac, Weyl, Majorana, and Majorana-Weyl) spinors in the Clifford algebra formalism. We give the explicit form of elements that realize generalizations of Dirac, charge, and Majorana conjugations in the case of arbitrary space dimensions and signatures, using the notion of the Clifford algebra additional signature to describe conjugations. We show that the additional signature can take only… CONTINUE READING
    15 Citations
    Clifford algebras and their applications to Lie groups and spinors
    • 9
    • PDF
    On some Lie groups containing spin group in Clifford algebra
    • 6
    • PDF
    Method of generalized Reynolds operators in Clifford algebras
    • 3
    • PDF
    On determinant, other characteristic polynomial coefficients, and inverses in Clifford algebras of arbitrary dimension
    • 2
    • PDF
    3 0 N ov 2 01 4 Method of Contractions in Clifford Algebras
    • 2014
    Method of Averaging in Clifford Algebras
    • 6
    • PDF
    Local generalization of Pauli's theorem
    • 1
    • PDF


    Unitary Spaces on Clifford Algebras
    • 44
    • PDF
    Clifford Algebras in Physics
    • 26
    • PDF
    Clifford Algebras and Spinors
    • 603
    Supergravity, Brane Dynamics and String Duality
    • 52
    • PDF
    Supersymmetry and the Division Algebras
    • 339
    • PDF
    Introduction To Supersymmetry And Supergravity
    • 491