Algebras generated by linearly dependent elements with prescribed spectra.

DOI10.1007/s10688-005-0036-2zbMath1130.16303OpenAlexW1998544129MaRDI QIDQ883686

M. A. Vlasenko, Anton Mellit, Yurii S. Samoilenko

Publication date: 8 June 2007

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

Full work available at URL: https://doi.org/10.1007/s10688-005-0036-2

zbMATH Keywords

PI algebrasalgebras of polynomial growthdeformed preprojective algebrasfinitely generated algebrasextended Dynkin diagrams

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Representations of quivers and partially ordered sets (16G20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (2)

On decompositions of a scalar operator into a sum of self-adjoint operators with finite spectrum ⋮ On functions on graphs and representations of a certain class of *-algebras.

Cites Work

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• Locally scalar graph representations in the category of Hilbert spaces.
• Hamiltonian formalism for the Novikov-Krichever equations for the commutativity of two operators
• Stable bundles, representation theory and Hermitian operators
• Noncommutative deformations of Kleinian singularities
• The Case Where the Sum of Three Partial Reflections is Equal to Zero
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• On the identities in algebras generated by linearly connected idempotents
• On sums of projections
• When a sum of idempotents or projections is a multiple of the identity

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