The Lorentz group and its finite field analogues: local isomorphism and approximation

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dc.creatorFoldes, Stephan
dc.date2008-05-08
dc.date2008-08-04
dc.date.accessioned2026-07-07T11:50:38Z
dc.date.available2026-07-07T11:50:38Z
dc.descriptionFinite Lorentz groups acting on 4-dimensional vector spaces coordinatized by finite fields with a prime number of elements are represented as homomorphic images of countable, rational subgroups of the Lorentz group acting on real 4-dimensional space-time. Bounded subsets of the real Lorentz group are retractable with arbitrary accuracy to finite subsets of such rational subgroups. These finite retracts correspond, via local isomorphisms, to well-behaved subsets of Lorentz groups over finite fields. This establishes a relationship of approximation between the real Lorentz group and Lorentz groups over very large finite fields.
dc.identifierhttps://arxiv.org/abs/0805.1224
dc.identifierhttp://arxiv.org/abs/0805.1224
dc.identifierJ.Math.Phys.49:093512,2008
dc.identifierdoi:10.1063/1.2982519
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203625
dc.subjectMathematical Physics
dc.titleThe Lorentz group and its finite field analogues: local isomorphism and approximation
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