Locally-scalar representations of graphs in the category of Hilbert spaces

Simple item page
dc.creatorKruglyak, S. A.
dc.creatorRoiter, A. V.
dc.date2003-07-11
dc.date2003-09-07
dc.date.accessioned2026-07-07T04:59:36Z
dc.date.available2026-07-07T04:59:36Z
dc.descriptionIn this paper authors consider representations of graphs in Hilbert spaces applying a restriction of local scalarity on them. It enables to obtain a theory, similar to the classical theory of representations of graphs in vector spaces. In particular, it is obtained a theorem analogous to the well-known Gabriel theorem: a connected finite graph (wood) is finitely representable in the category of Hilbert spaces if and only if it is a Dynkin graph.
dc.description18 pages. Report: International Conference on Algebras, Modules and Rings, Lisbon 2003 (reported by I. Redchuk)
dc.identifierhttps://arxiv.org/abs/math/0307163
dc.identifierhttp://arxiv.org/abs/math/0307163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68054
dc.subjectRepresentation Theory
dc.titleLocally-scalar representations of graphs in the category of Hilbert spaces
dc.typetext

Files

Collections

arXiv