On associative commutation relations

DOI10.1007/BF01589663zbMath0964.81513OpenAlexW2131414855MaRDI QIDQ1578797

Ladislav Hlavatý

Publication date: 10 September 2000

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01589663

zbMATH Keywords

associativityalgebras of deformed commutation relations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• DEFORMATION OF THE QUANTUM MECHANICAL PHASE SPACE WITH BOSONIC OR FERMIONIC COORDINATES
• Multiparameter deformations of GL(N) and Jordan–Schwinger constructions
• Interpolation between Fermi and Bose statistics using generalized commutators
• Example of infinite statistics
• Covariant differential calculus on the quantum hyperplane

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