Orthoscalar representations of quivers on the category of Hilberts spaces. II

zbMath1184.16016arXiv0901.2296MaRDI QIDQ3444780

L. A. Nazarova, A. V. Roiter, Stanislav Kruglyak

Publication date: 4 June 2007

Full work available at URL: https://arxiv.org/abs/0901.2296

zbMATH Keywords

Hilbert spacesquiver representationsCoxeter functorsDynkin graphslocally scalar representationsunitary equivalences

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Categories, functors in functional analysis (46M15) Representation theory of linear operators (47A67)

Related Items (4)

On decompositions of a scalar operator into a sum of self-adjoint operators with finite spectrum ⋮ Unitarizable representations of quivers. ⋮ Orthoscalar quiver representations corresponding to extended Dynkin graphs in the category of Hilbert spaces. ⋮ Stable representations of posets

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