Geodesic
The use of the generalized Pauli's theorem for odd elements of Clifford algebra
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 279-287

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In the present paper we consider the use of generalized Pauli's theorem to prove the theorem about double cover of orthogonal groups by spin groups. We prove theorems about double cover of orthochronous, othochorous, special and special orthochronous groups by corresponding spin groups. We show the difference between the approaches using adjoint action and twisted adjoint action.
Keywords: Clifford algebra, Pauli's theorem, spin groups, orthogonal groups, double cover
Mots-clés : orthochronous group, orthochorous group. 
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     author = {D. S. Shirokov},
     title = {The use of the generalized {Pauli's} theorem for odd elements of {Clifford} algebra},
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D. S. Shirokov. The use of the generalized Pauli's theorem for odd elements of Clifford algebra. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 279-287. http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a27/