Quantum Deformations of the Heisenberg-Virasoro Algebra
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Publication:4923903
DOI10.1142/S1005386713000266zbMath1310.17007OpenAlexW2106621188MaRDI QIDQ4923903
Publication date: 27 May 2013
Published in: Algebra Colloquium (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1005386713000266
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Virasoro and related algebras (17B68) Cohomology of Lie (super)algebras (17B56) Hopf algebras and their applications (16T05)
Related Items (7)
The structure of split regular Hom-Leibniz–Poisson color algebras ⋮ Generalized Heisenberg–Virasoro algebra and matrix models from quantum algebra ⋮ On the universal \(\alpha\)-central extension of the semi-direct product of Hom-Leibniz algebras ⋮ Rota-type operators on 3-dimensional nilpotent associative algebras ⋮ Rota-Baxter operators on 3-dimensional Lie algebras and the classical \(R\)-matrices ⋮ Hom-Lie algebras with a set grading ⋮ Universal central extension of direct limits of Hom-Lie algebras
Cites Work
- Moduli spaces of curves and representation theory
- Cyclic homology of differential operators, the Virasoro algebra and a \(q\)-analogue
- Quantum group structure of the \(q\)-deformed Virasoro algebra
- Central extensions of classical and quantum \(q\)-Virasoro algebras
- Deformations of Lie algebras using \(\sigma\)-derivations
- Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
- Derivation Algebras and 2-Cocycles of the Algebras ofq-Differential Operators
- Lie Bialgebra Structures on Lie Algebras of Block Type
- Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero
- Realizations of the q-Heisenberg and q-Virasoro algebras
- A cohomological characterization of Leibniz central extensions of Lie algebras
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