2013/08/02 by В. М. Симулик, V. M. Simulik, Simulik, V. M. +8
Mathematics · Physics and Astronomy · #12Exx #A.0 #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #acm:12Exx #math-ph #math.MP #msc:12Exx
paper · pdf · doi:10.48550/arxiv.1308.0467
This paper has been prepared in June 2012 for the Proceedings of the BGL-8 International Conference on Non-Euclidean Geometry in Modern Physics and Mathematics
arxiv created 2013/08/02 · openalex publication_date 2013/08/02 · arxiv updated 2013/08/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The structure of the 64-dimensional extended real Clifford-Dirac (ERCD) algebra, which has been introduced in our paper Phys. Lett. A. 375 (2011) 2479, is under consideration. The subalgebras of this algebra are investigated: the 29-dimensional proper ERCD algebra and 32-dimensional pure matrix algebra of invariance of the Dirac equation in the Foldy-Wouthuysen representation. The last one is the maximal pure matrix algebra of invariance of this equation. The different realizations of the proper ERCD algebra are given. The application of proper ERCD algebra is illustrated on the example of the derivation of the hidden spin (1,0) Poincare symmetry of the Dirac equation.