Standard-model symmetry in complexified spacetime algebra

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dc.creatorAlmeida, Jose B.
dc.date2003-07-11
dc.date2003-08-02
dc.date.accessioned2026-07-07T04:59:36Z
dc.date.available2026-07-07T04:59:36Z
dc.descriptionComplexified spacetime algebra is defined as the geometric (Clifford) algebra of spacetime with complex coefficients, isomorphic $\mathcal{G}_{1,4}$. By resorting to matrix representation by means of Dirac-Pauli gamma matrices, the paper demonstrates isomorphism between subgroups of CSTA and SU(3). It is shown that the symmetry group of those subgroups is indeed $U(1) \otimes SU(2) \otimes SU(3)$ and that there are 4 distinct copies of this group within CSTA.
dc.description8 pages, revised and extended compared to V.1
dc.identifierhttps://arxiv.org/abs/math/0307165
dc.identifierhttp://arxiv.org/abs/math/0307165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68055
dc.subjectGeneral Mathematics
dc.subject15A66 (primary) 15A57; 16W30 (secondary)
dc.titleStandard-model symmetry in complexified spacetime algebra
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