Lie polynomials in \(q\)-deformed Heisenberg algebras

DOI10.1016/J.JALGEBRA.2018.12.008zbMath1458.17012arXiv1709.02612OpenAlexW2775220503WikidataQ115350562 ScholiaQ115350562MaRDI QIDQ1712474

Rafael Reno S. Cantuba

Publication date: 22 January 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02612

zbMATH Keywords

Lie subalgebra\(q\)-deformed Heisenberg algebrasideal of a Lie algebra

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (6)

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 ⋮ Frattinian nilpotent Lie algebras ⋮ A CASIMIR ELEMENT INEXPRESSIBLE AS A LIE POLYNOMIAL ⋮ An extension of a \(q\)-deformed Heisenberg algebra and its Lie polynomials

Cites Work

• The universal Askey-Wilson algebra
• Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
• The diamond lemma for ring theory
• Two-sided ideals in \(q\)-deformed Heisenberg algebras.
• A Basis for Free Lie Rings and Higher Commutators in Free Groups
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