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
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.
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
\Bibitem{Shi13}
\by D.~S.~Shirokov
\paper 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
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 279--287
\mathnet{http://mi.mathnet.ru/vsgtu1176}
\crossref{https://doi.org/10.14498/vsgtu1176}
Linking options:
https://www.mathnet.ru/eng/vsgtu1176
https://www.mathnet.ru/eng/vsgtu/v130/p279
This publication is cited in the following 8 articles:
S. P. Kuznetsov, V. V. Mochalov, V. P. Chuev, “O teoreme Pauli v algebrakh Klifforda nechetnoi razmernosti”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 32:1 (2022), 44–61
Shirokov D., “On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras”, Adv. Appl. Clifford Algebr., 31:3 (2021), 30
S. P. Kuznetsov, V. V. Mochalov, V. P. Chuev, “On Pauli’s Theorem in the Clifford Algebra R1,3”, Advances in Applied Clifford Algebras, 29:5 (2019), 103
S. P. Kuznetsov, V. V. Mochalov, V. P. Chuev, “On Pauli's theorem in Clifford algebras”, Russian Math. (Iz. VUZ), 63:11 (2019), 13–27
D. Shirokov, “Clifford algebras and their applications to Lie groups and spinors”, Geometry, Integrability and Quantization, 19 (2018), 11–53, arXiv: 1709.06608 [math-ph]
D. S. Shirokov, “Method of Averaging in Clifford Algebras”, Advances in Applied Clifford Algebras, 27:1 (2017), 149–163, arXiv: 1412.0246 [math-ph]
D. S. Shirokov, “Svertki po rangam i kvaternionnym tipam v algebrakh Klifforda”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:1 (2015), 117–135
D. S. Shirokov, Method of generalized contractions and Pauli's theorem in Clifford algebras, 2014, arXiv: 1409.8163 [math-ph]
Citation in format AMSBIB
Contact us: