Properties of the algebra of \(q\)-deformed commutators in indefinite-metric space

DOI10.1007/BF02634510zbMath0963.46503OpenAlexW2070744366MaRDI QIDQ1294941

M. N. Mnatsakanova, Yu. S. Vernov

Publication date: 2 July 2001

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

Full work available at URL: https://doi.org/10.1007/bf02634510

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of operator theory in the physical sciences (47N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (1)

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

Cites Work

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• Contraction of quantum algebras and \(q\) oscillators
• Quantum Lie superalgebras and q-oscillators
• Local realizations of \(q\)-oscillators in quantum mechanics
• INTRODUCTION TO THE YANG-BAXTER EQUATION
• Quantum group symmetric Bargmann–Fock space: Integral kernels, Green functions, driving forces
• Irreducible representations of the Heisenberg algebra in Krein spaces
• Invariance properties of the q-oscillator algebra: q-analogue of von Neumann's theorem

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