The multiplicity of weights in nonprimitive pairs of weights

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dc.creatorDeCoste, Rachelle C.
dc.date2007-08-13
dc.date.accessioned2026-07-07T08:23:27Z
dc.date.available2026-07-07T08:23:27Z
dc.descriptionFor each type of classical Lie algebra, we list the dominant highest weights $ζ$ for which $(ζ;μ_i)$ is not a primitive pair and the weight space $V_{μ_i}$ has dimension one where $μ_i$ are the highest long and short roots in each case. These dimension one weight spaces lead to examples of nilmanifolds for which we cannot prove or disprove the density of closed geodesics.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0708.1757
dc.identifierhttp://arxiv.org/abs/0708.1757
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136000
dc.subjectRepresentation Theory
dc.subject22E46;17B10
dc.titleThe multiplicity of weights in nonprimitive pairs of weights
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