Clifford Algebras and Possible Kinematics

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dc.creatorMcRae, Alan
dc.date2007-07-19
dc.date.accessioned2026-07-07T09:34:08Z
dc.date.available2026-07-07T09:34:08Z
dc.descriptionWe review Bacry and Levy-Leblond's work on possible kinematics as applied to 2-dimensional spacetimes, as well as the nine types of 2-dimensional Cayley-Klein geometries, illustrating how the Cayley-Klein geometries give homogeneous spacetimes for all but one of the kinematical groups. We then construct a two-parameter family of Clifford algebras that give a unified framework for representing both the Lie algebras as well as the kinematical groups, showing that these groups are true rotation groups. In addition we give conformal models for these spacetimes.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0707.2869
dc.identifierhttp://arxiv.org/abs/0707.2869
dc.identifierSIGMA 3 (2007), 079, 29 pages
dc.identifierdoi:10.3842/SIGMA.2007.079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159382
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.titleClifford Algebras and Possible Kinematics
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