Real representations of semisimple Lie algebras have Q-forms

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dc.creatorWitte, Dave
dc.date2002-05-28
dc.date2002-12-18
dc.date.accessioned2026-07-07T04:48:45Z
dc.date.available2026-07-07T04:48:45Z
dc.descriptionWe prove that each real semisimple Lie algebra G has a Q-form, such that every real representation of G can be realized over the rational numbers Q. This was previously proved by M.S.Raghunathan (and rediscovered by P.Eberlein) in the special case where G is compact.
dc.description21 pages, no figures, Latex2e file; added an alternate proof and strengthened the results in the final section, corrected minor errors
dc.identifierhttps://arxiv.org/abs/math/0205289
dc.identifierhttp://arxiv.org/abs/math/0205289
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64170
dc.subjectRepresentation Theory
dc.subject17B10; 22E47
dc.titleReal representations of semisimple Lie algebras have Q-forms
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