On functions on graphs and representations of a certain class of *-algebras.

DOI10.1016/j.jalgebra.2006.06.046zbMath1169.16009OpenAlexW1987667061MaRDI QIDQ876393

Yurii S. Samoilenko, Vasyl L. Ostrovskyĭ, Sergio A. Albeverio

Publication date: 18 April 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.06.046

zbMATH Keywords

weightsalgebrasCoxeter functorsstar-shaped graphsextended Dynkin diagramsirreducible *-representations

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Operator spaces and completely bounded maps (46L07) Representations of quivers and partially ordered sets (16G20) Representations of (nonselfadjoint) operator algebras (47L55)

Related Items (7)

On decompositions of a scalar operator into a sum of self-adjoint operators with finite spectrum ⋮ Unitarizable representations of quivers. ⋮ Scalar operators equal to the product of unitary roots of the identity operator ⋮ The Smith normal form of the walk matrix of the extended Dynkin graph \(\tilde{D}_n\) ⋮ Kleiner's theorem for unitary representations of posets ⋮ Orthoscalar quiver representations corresponding to extended Dynkin graphs in the category of Hilbert spaces. ⋮ Stable representations of posets

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• Separating functions, spectral theory of graphs, and locally scalar representations in Hilbert spaces
• Singular locally scalar representations of quivers in Hilbert spaces and separating functions
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