Group contractions and its consequences upon representations of different spatial symmetry groups

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dc.creatorAyala, Mauricio
dc.creatorHaase, Richard
dc.date2002-06-05
dc.date2002-06-06
dc.date.accessioned2026-07-07T04:13:39Z
dc.date.available2026-07-07T04:13:39Z
dc.descriptionWe investigate the group contraction method for various space-time groups, including SO(3)->E_2, SO(3,1)->G_3, SO(5-h,h)->P(3,1) (h=1 or 2), and its consequences for representations of these groups. Following strictly quantum mechanical procedures we specifically pay attention in the asymptotic limiting procedure employed in the contraction G -> G', not only to the respective algebras but to their representations spaces spanned by the eigenvectors of the Cartan subalgebra and the eigenvalues labelling these representation spaces. Where appropriate a physical interpretation is given to the contraction prodecure.
dc.descriptionTo be published in the Proceedings of the Summer School "Geometric and Topological methods for Quantum Field Theory", Villa de Leyva, Colombia (2001)
dc.identifierhttps://arxiv.org/abs/hep-th/0206037
dc.identifierhttp://arxiv.org/abs/hep-th/0206037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51339
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectGroup Theory
dc.subjectQuantum Physics
dc.titleGroup contractions and its consequences upon representations of different spatial symmetry groups
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