Indecomposable representations of quivers on infinite-dimensional Hilbert spaces

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dc.creatorEnomoto, Masatoshi
dc.creatorWatatani, Yasuo
dc.date2007-07-06
dc.date2007-07-07
dc.date.accessioned2026-07-07T08:14:19Z
dc.date.available2026-07-07T08:14:19Z
dc.descriptionWe study indecomposable representations of quivers on separable infinite-dimensional Hilbert spaces by bounded operators. We consider a complement of Gabriel's theorem for these representations. Let $Γ$ be a finite, connected quiver. If its underlying undirected graph contains one of extended Dynkin diagrams $\tilde{A_n} (n \geq 0)$, $\tilde{D_n} (n \geq 4)$, $\tilde{E_6}$,$\tilde{E_7}$ and $\tilde{E_8}$, then there exists an indecomposable representation of $Γ$ on separable infinite-dimensional Hilbert spaces.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0707.0966
dc.identifierhttp://arxiv.org/abs/0707.0966
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133078
dc.subjectOperator Algebras
dc.subjectRepresentation Theory
dc.subject46C07, 47A15, 15A21, 16G20, 16G60
dc.titleIndecomposable representations of quivers on infinite-dimensional Hilbert spaces
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