Geodesic
Pauli theorem in the~description of $n$-dimensional spinors in the~Clifford algebra~formalism
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 1, pp. 11-34

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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 certain values despite its dependence on the matrix representation.
Keywords: Pauli theorem, Clifford algebra, Clifford algebra additional signature.
Mots-clés : Dirac conjugation, charge conjugation, Majorana conjugation, Majorana–Weyl spinor 
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     title = {Pauli theorem in the~description of $n$-dimensional spinors in {the~Clifford} algebra~formalism},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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D. S. Shirokov. Pauli theorem in the~description of $n$-dimensional spinors in the~Clifford algebra~formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 1, pp. 11-34. http://geodesic.mathdoc.fr/item/TMF_2013_175_1_a1/