Commuting Elements in Q-Deformed Heisenberg Algebras

By L. Hellström, Sergei Silvestrov. 2000

90 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5e132ed8a4ac0d41d28783b1573b6c61801dc99c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Abdenacer Makhlouf
2. Donald Yau
3. Sergei Silvestrov
4. Daniel S. D. Larsson
5. G. Sigurdsson
6. Y. Sheng
7. F. Ammar
8. Florin Panaite

In Geometry and Topology

1. Abdenacer Makhlouf
2. Sergei Silvestrov
3. Donald Yau
4. Daniel S. D. Larsson
5. G. Sigurdsson
6. Florin Panaite
7. Y. Sheng
8. F. Ammar

In Mathematical Physics

1. Abdenacer Makhlouf
2. Sergei Silvestrov
3. Daniel S. D. Larsson
4. G. Sigurdsson
5. Donald Yau
6. Florin Panaite
7. F. Ammar
8. Y. Sheng

Citations in the corpus

• Hom-Lie Admissible Hom-coalgebras and Hom-Hopf Algebras (2007, methodology): “These classes of algebras are tailored in a way suitable for simultaneous treatment of the Lie algebras, Lie superalgebras, the color Lie algebras and the deformations arising in connection with twisted, discretized or deformed derivatives [5] and corresponding generalizations, discretizations and d”
• Quasi-Deformations of 𝔰𝔩2(𝔽) Using Twisted Derivations (2005, background): “The main objects for these deformations were infinite-dimensional algebras, primarily the Heisenberg algebras (oscillator algebras) and the Virasoro algebra, see [4, 6, 7, 16, 18] and the references therein.”
• Quasi-Lie algebras (2004, background): “[18] Fuchs, J.”
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities (2004, unknown): “Note that in this caseD is nothing but ( t times) the Jacksonq-derivative acting onA and also that we get a hom-Lie algebra with δ = 1 andα(dn) = qdn associated to th q-deformed Heisenberg algebra [15].”
• Burchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras (2003, methodology): “The proof in [11] is an existence argument, which can be used successfully for an algorithmic implementation for computing the corresponding algebraic curves.”
• Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions (2009, methodology): “The main objects for these deformations were infinite-dimensional algebras, primarily the Heisenberg algebras (oscillator algebras) and the Virasoro algebra, see [1–4] and the references therein.”