THE SPECTRAL PROBLEM AND *-REPRESENTATIONS OF ALGEBRAS ASSOCIATED WITH DYNKIN GRAPHS

DOI10.1142/S0219498805001320zbMath1182.47055arXivmath/0407418OpenAlexW2066174475MaRDI QIDQ3367655

Stanislav Popovych, Stanislav Kruglyak, Yurii S. Samoilenko

Publication date: 24 January 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407418

zbMATH Keywords

graphirreducible representationHilbert spaceHorn's problemquiverDynkin diagramCoxeter functor\(^{*}\)-algebra

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Representations of quivers and partially ordered sets (16G20)

Related Items (2)

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

Cites Work

• Locally scalar graph representations in the category of Hilbert spaces.
• Stable bundles, representation theory and Hermitian operators
• On matrices in prescribed conjugacy classes with no common invariant subspace and sum zero
• Eigenvalues, invariant factors, highest weights, and Schubert calculus

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