Regular representations of the \(R\)-deformed Heisenberg algebra

DOI10.1007/BF02551012zbMath0980.81029OpenAlexW2068290068MaRDI QIDQ5941948

Yu. S. Vernov, M. N. Mnatsakanova

Publication date: 28 August 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02551012

zbMATH Keywords

indefinite metricirreduciblenondegenerateweakly closed

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Cites Work

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• Deformed Heisenberg algebra with reflection
• Properties of the algebra of \(q\)-deformed commutators in indefinite-metric space
• R-DEFORMED HEISENBERG ALGEBRA
• Irreducible representations of the Heisenberg algebra in Krein spaces
• Invariance properties of the q-oscillator algebra: q-analogue of von Neumann's theorem