Torsion-type \(q\)-deformed Heisenberg algebra and its Lie polynomials

DOI10.1007/978-3-030-41850-2_24zbMath1493.16026arXiv1905.02156OpenAlexW3107913916MaRDI QIDQ1980740

Rafael Reno S. Cantuba, Sergei D. Silvestrov

Publication date: 8 September 2021

Full work available at URL: https://arxiv.org/abs/1905.02156

zbMATH Keywords

root of unitycommutator\(q\)-deformed Heisenberg algebraLie polynomialtorsion-type

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Deformations of associative rings (16S80) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (4)

Recent developments in combinatorial aspects of normal ordering ⋮ Lie polynomials in an algebra defined by a linearly twisted commutation relation ⋮ Lie structure of the Heisenberg-Weyl algebra ⋮ A CASIMIR ELEMENT INEXPRESSIBLE AS A LIE POLYNOMIAL

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