The general solution of the real $Z_2^{\otimes N}$ graded contractions of $so(N+1)$

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dc.creatorHerranz, F. J.
dc.creatorSantander, M.
dc.date1996-01-09
dc.date1996-06-20
dc.date.accessioned2026-07-07T10:58:41Z
dc.date.available2026-07-07T10:58:41Z
dc.descriptionThe general solution of the graded contraction equations for a $\zz_2^{\otimes N}$ grading of the real compact simple Lie algebra $so(N+1)$ is presented in an explicit way. It turns out to depend on $2^N-1$ independent real parameters. The structure of the general graded contractions is displayed for the low dimensional cases, and kinematical algebras are shown to appear straightforwardly. The geometrical (or physical) meaning of the contraction parameters as curvatures is also analysed; in particular, for kinematical algebras these curvatures are directly linked to geometrical properties of possible homogeneous space-times.
dc.description12 pages, LaTeX; explicit proofs and applications to kinematical algebras are added
dc.identifierhttps://arxiv.org/abs/hep-th/9601032
dc.identifierhttp://arxiv.org/abs/hep-th/9601032
dc.identifierJ.Phys.A29:6643-6652,1996
dc.identifierdoi:10.1088/0305-4470/29/20/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187187
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectGroup Theory
dc.subjectRings and Algebras
dc.titleThe general solution of the real $Z_2^{\otimes N}$ graded contractions of $so(N+1)$
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