scientific article; zbMATH DE number 1535857
From MaRDI portal
Publication:4516129
zbMath0956.17006MaRDI QIDQ4516129
Lars Hellström, Sergei D. Silvestrov
Publication date: 27 November 2000
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
graded algebrasnormal formcommuting elementsDiamond lemmacentraliser\(q\)-difference operators\(q\)-combinatoricsgradation\(q\)-deformed Heisenberg algebras
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum chaos (81Q50) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to nonassociative rings and algebras (17-01)
Related Items (29)
Deformations of Lie algebras using \(\sigma\)-derivations ⋮ Commutativity and ideals in pre-crystalline graded rings. ⋮ Recent developments in combinatorial aspects of normal ordering ⋮ Ergodipotent maps and commutativity of elements in noncommutative rings and algebras with twisted intertwining. ⋮ Non-associative Ore extensions ⋮ Graded quasi-Lie algebras of Witt type ⋮ Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms ⋮ A combinatorial proof of associativity of Ore extensions. ⋮ Lax Matrices for Yang-Baxter Maps ⋮ Simplicity of Ore monoid rings ⋮ Lie polynomials in an algebra defined by a linearly twisted commutation relation ⋮ Lie structure of the Heisenberg-Weyl algebra ⋮ Representations of polynomial covariance type commutation relations by piecewise function multiplication and composition operators ⋮ Deformed Heisenberg algebra: origin of \(q\)-calculus ⋮ Derivations of skew Ore polynomial semirings ⋮ Valued Custom Skew Fields with Generalised PBW Property from Power Series Construction ⋮ Lie polynomials in \(q\)-deformed Heisenberg algebras ⋮ Compactness property of Lie polynomials in the creation and annihilation operators of the \(q\)-oscillator ⋮ On Some Almost Quadratic Algebras Coming from Twisted Derivations ⋮ Bosonic Realizations of the Colour Heisenberg Lie Algebra ⋮ Extensions of hom-Lie color algebras ⋮ Quasi-Lie structure of \(\sigma \)-derivations of \(\mathbb C[t^{\pm 1}\)] ⋮ Rota–Baxter Hom-Lie–Admissible Algebras ⋮ A CASIMIR ELEMENT INEXPRESSIBLE AS A LIE POLYNOMIAL ⋮ Two-sided ideals in \(q\)-deformed Heisenberg algebras. ⋮ Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities ⋮ Enveloping algebras of color hom-Lie algebras ⋮ An extension of a \(q\)-deformed Heisenberg algebra and its Lie polynomials ⋮ Algebraic curves for commuting elements in the \(q\)-deformed Heisenberg algebra
This page was built for publication: