Locally scalar graph representations in the category of Hilbert spaces.

DOI10.1007/s10688-005-0022-8zbMath1175.16011OpenAlexW2058740843MaRDI QIDQ883610

A. V. Roiter, Stanislav Kruglyak

Publication date: 5 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-005-0022-8

zbMATH Keywords

Hilbert spacesreflectionsquiver 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 (10)

On functions on graphs and representations of a certain class of *-algebras. ⋮ Unitarizable representations of quivers. ⋮ Algebras generated by linearly dependent elements with prescribed spectra. ⋮ Strongly irreducible operators and indecomposable representations of quivers on infinite-dimensional Hilbert spaces ⋮ Orthoscalar quiver representations corresponding to extended Dynkin graphs in the category of Hilbert spaces. ⋮ On universal $C^*$-algebras generated by $n$ projections with scalar sum ⋮ THE SPECTRAL PROBLEM AND *-REPRESENTATIONS OF ALGEBRAS ASSOCIATED WITH DYNKIN GRAPHS ⋮ Indecomposable representations of quivers on infinite-dimensional Hilbert spaces ⋮ Antimonotone quadratic forms and partially ordered sets ⋮ Stable representations of posets

Cites Work

• Infinite root systems, representations of graphs and invariant theory. II
• Unitary and Euclidean representations of a quiver
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• DIFFEOMORPHISM GROUPS AND CURRENT ALGEBRAS: CONFIGURATION SPACE ANALYSIS IN QUANTUM THEORY
• Singular locally scalar representations of quivers in Hilbert spaces and separating functions
• On sums of projections
• When a sum of idempotents or projections is a multiple of the identity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Locally scalar graph representations in the category of Hilbert spaces.