Homogeneous Spaces of the Lorentz Group

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dc.creatorToller, M.
dc.date2003-01-13
dc.date2003-05-23
dc.date.accessioned2026-07-07T04:29:43Z
dc.date.available2026-07-07T04:29:43Z
dc.descriptionWe present a classification, up to isomorphisms, of all the homogeneous spaces of the Lorentz group with dimension lower than six. At the same time, we classify, up to conjugation, all the non-discrete closed subgroup of the Lorentz group and all the subalgebras of the Lorentz Lie algebra. We also study the covariant mappings between some pairs of homogeneous spaces. This exercise is done without any claim of originality, but with the hope of providing a useful instrument for the investigation of the Lorentz transformation properties of some physical quantities.
dc.description25 pages, 1 figure, LATEX file, relevant reference added
dc.identifierhttps://arxiv.org/abs/math-ph/0301014
dc.identifierhttp://arxiv.org/abs/math-ph/0301014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57262
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectGroup Theory
dc.subject22E70
dc.titleHomogeneous Spaces of the Lorentz Group
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