Irreducible representations of Virasoro-toroidal Lie algebras

DOI10.1007/BF02100482zbMath0796.17024OpenAlexW2042687830MaRDI QIDQ1314999

Marc A. Fabbri, Robert V. Moody

Publication date: 4 October 1994

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

Full work available at URL: https://doi.org/10.1007/bf02100482

zbMATH Keywords

toroidal Lie algebrasFock spaceindecomposable modulesoscillator representationsvertex operator representationsVirasoro-toroidal algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items

Vertex operator representations for toroidal lie algebra of typeB_l ⋮ OSCILLATOR REPRESENTATIONS OF VIRASORO ALGEBRA ⋮ Irreducible representations for Virasoro-toroidal Lie algebras ⋮ Vertex Operator Construction for the Toroidal Lie Algebra of TypeF₄ ⋮ Bosonic free field realization of twisted 2-toroidal Lie algebras ⋮ Unnamed Item ⋮ Integrable representations for generalized Virasoro-toroidal Lie algebras. ⋮ Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra ⋮ On realization of some twisted toroidal Lie algebras ⋮ Fermionic realization of twisted toroidal Lie algebras ⋮ Vertex operator representations of type \(C_l^{(1)}\) and product-sum identities ⋮ Fermionic realization of toroidal Lie algebras of classical types ⋮ A class of simple weight modules over the twisted Heisenberg-Virasoro algebra ⋮ Generalized Heisenberg-Virasoro algebras ⋮ Representations of the Twisted Heisenberg–Virasoro Algebra and the Full Toroidal Lie Algebras ⋮ Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras ⋮ Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra

Cites Work

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• Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
• Toroidal Lie algebras and vertex representations
• The Virasoro algebra
• Basic representations of affine Lie algebras and dual resonance models
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra