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This article is cited in 8 scientific papers (total in 8 papers)
Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Mechanics and Classical Field Theory
The use of the generalized Pauli's theorem for odd elements of Clifford algebra
to analyze relations between spin and orthogonal groups of arbitrary dimensions
D. S. Shirokov Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, 119991, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
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, orthochronous group, orthochorous group.
Original article submitted 16/XI/2012 revision submitted – 27/I/2013
Citation:
D. S. Shirokov, “The use of the generalized Pauli's theorem for odd elements of Clifford algebra
to analyze relations between spin and orthogonal groups of arbitrary dimensions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 279–287
Linking options:
https://www.mathnet.ru/eng/vsgtu1176 https://www.mathnet.ru/eng/vsgtu/v130/p279
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