On the deformability of Heisenberg algebras

DOI10.1007/BF02101181zbMath0884.17008arXivq-alg/9508014MaRDI QIDQ1924093

Mathias Pillin

Publication date: 1 April 1998

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9508014

zbMATH Keywords

quantum groupsWeyl algebra\(q\)-deformation\(q\)-differential calculus\(q\)-oscillator algebras\(q\)-differential algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87)

Related Items

DRINFEL'D TWIST AND q-DEFORMING MAPS FOR LIE GROUP COVARIANT HEISENBERG ALGEBRAE, Deforming maps for Lie group covariant creation and annihilation operators, An extended \(q\)-deformed \(\text{su}(2)\) algebra and the Bloch electron problem., The geometry of the quantum Euclidean space, On derivations of the Heisenberg algebra, q-DEFORMED NON-RELATIVISTIC AND RELATIVISTIC QUANTUM MECHANICS, q -deformed star products and Moyal brackets, Particles in singular magnetic field, Embedding \(q\)-deformed Heisenberg algebras into undeformed ones

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