Lie polynomials in an algebra defined by a linearly twisted commutation relation
DOI10.1142/S0219498822501754zbMath1502.16022arXiv1811.03843OpenAlexW3168355981WikidataQ115245570 ScholiaQ115245570MaRDI QIDQ5104140
Publication date: 9 September 2022
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.03843
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Operator algebras with symbol structure (47L15) Individual linear operators as elements of algebraic systems (47C99)
Cites Work
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- The universal Askey-Wilson algebra
- Overview on Heisenberg-Weyl algebra and subsets of Riordan subgroups
- C*-algebras associated with irrational rotations
- The diamond lemma for ring theory
- Lie polynomials in \(q\)-deformed Heisenberg algebras
- The general boson normal ordering problem
- On \(C^\ast\)-algebras generated by isometries with twisted commutation relations
- 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.
- Construction of finitely presented Lie algebras and superalgebras
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
- The quantum group SUq(2) and a q-analogue of the boson operators
- A CASIMIR ELEMENT INEXPRESSIBLE AS A LIE POLYNOMIAL
- Locally compact transformation groups and 𝐶*-algebras
- REPRESENTATIONS OF THE ANTICOMMUTATION RELATIONS
- REPRESENTATIONS OF THE COMMUTATION RELATIONS
- Program for constructing a complete system of relations, basis elements, and commutator table for finitely presented Lie algebras and superalgebras
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