Tensor product decompositions and open orbits in multiple flag varieties

dc.creatorPopov, Vladimir L.
dc.date2006-08-31
dc.date2006-12-14
dc.date.accessioned2026-07-07T08:08:08Z
dc.date.available2026-07-07T08:08:08Z
dc.descriptionFor a connected semisimple algebraic group $G$, we consider some special infinite series of tensor products of simple $G$-modules whose $G$-fixed point spaces are at most one-dimensional. We prove that their existence is closely related to the existence of open $G$-orbits in multiple flag varieties and address the problem of classifying such series.
dc.description23 pages. Footnote on upper bounds of separation indices of root systems is added (p. 15). In Example 11 some recent results are mentioned and new references are added
dc.identifierhttps://arxiv.org/abs/math/0609003
dc.identifierhttp://arxiv.org/abs/math/0609003
dc.identifierJ. Algebra, Vol. 313 (2007), 392-416
dc.identifierdoi:10.1016/j.jalgebra.2006.11.042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131159
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject20G05; 14L30
dc.titleTensor product decompositions and open orbits in multiple flag varieties
dc.typetext

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