Realizations of conformal current-type Lie algebras

DOI10.1063/1.3397710zbMath1310.81082OpenAlexW2054598076MaRDI QIDQ5249514

Cheng-Ming Bai, Yufeng Pei

Publication date: 6 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3397710

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (7)

Lie 2-bialgebras ⋮ Vertex algebras associated to a class of Lie algebras of Krichever-Novikov type ⋮ Structure of the planar Galilean conformal algebra ⋮ \(\phi_\varepsilon\)-coordinated modules for vertex algebras ⋮ A compendium of Lie structures on tensor products ⋮ On finite dimensional simple Novikov superalgebras ⋮ The deformed Lie algebra of differential operators of order at most one

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
• Moduli spaces of curves and representation theory
• Determinant bundles and Virasoro algebras
• Hamiltonian operators and algebraic structures related to them
• Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on \(S^1\)
• Differential operator Lie algebras on the ring of Laurent polynomials
• Generalizations of the Virasoro algebra and matrix Sturm-Liouville operators
• Extensions of the Neveu-Schwarz Lie superalgebra
• Looped cotangent Virasoro algebra and nonlinear integrable systems in dimension \(2+1\)
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• The classification of Novikov algebras in low dimensions
• On the realization of transitive Novikov algebras
• Low-Dimensional Cohomology Groups of the Lie Algebras W(a,b)
• Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras
• The derivations, central extensions and automorphism group of the Lie algebra $W$
• Representations of the Twisted Heisenberg–Virasoro Algebra and the Full Toroidal Lie Algebras
• A category of modules for the full toroidal Lie algebra
• Verma Modules Over the Generalized Heisenberg–Virasoro Algebra
• Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra
• CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA
• The automorphisms of Novikov algebras in low dimensions
• Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero
• Beltrami algebra and symmetry of the Beltrami equation on Riemann surfaces
• Minimal models of U(1) conformal current algebra
• The second homology group of current Lie algebras
• Geodesic flow on (super-) Bott–Virasoro group and Harry Dym family
• Unitary representations of the generalized Virasoro current algebra
• Integrable geodesic flows on the (super)extension of the Bott-Virasoro group

This page was built for publication: Realizations of conformal current-type Lie algebras