A CASIMIR ELEMENT INEXPRESSIBLE AS A LIE POLYNOMIAL

DOI10.24330/ieja.969570zbMath1504.17018arXiv1810.02554OpenAlexW2895469580WikidataQ115228210 ScholiaQ115228210MaRDI QIDQ5164813

Rafael Reno S. Cantuba

Publication date: 15 November 2021

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

Full work available at URL: https://arxiv.org/abs/1810.02554

zbMATH Keywords

quantum groupquantum algebraCasimir elementLie polynomial

Mathematics Subject Classification ID

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 (1)

Lie polynomials in an algebra defined by a linearly twisted commutation relation

Cites Work

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• The universal Askey-Wilson algebra
• An analog of the Sklyanin algebra
• ``Hidden symmetry of Askey-Wilson polynomials
• The diamond lemma for ring theory
• Lie polynomials in \(q\)-deformed Heisenberg algebras
• Observables in 3D gravity and geodesic algebras.
• Torsion-type \(q\)-deformed Heisenberg algebra and its Lie polynomials
• Lie polynomial characterization problems
• An extension of a \(q\)-deformed Heisenberg algebra and its Lie polynomials
• Compactness property of Lie polynomials in the creation and annihilation operators of the \(q\)-oscillator
• Two-sided ideals in \(q\)-deformed Heisenberg algebras.
• The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation
• On the classification of irreducible finite-dimensional representations of Uq′(so3) algebra
• Quantum deformations of SU(2)
• Representations of the cyclically symmetric q-deformed algebra soq(3)
• Algebraic Structures and Applications
• Center of quantum algebra $U_q^{\prime }({\rm so}_3)$Uq′( so 3)

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