On the structure of Verma modules over the W-algebra W(2,2)

DOI10.1063/1.3290646zbMath1309.17014OpenAlexW1977833423MaRDI QIDQ5246533

Yufeng Pei, Wei Jiang

Publication date: 21 April 2015

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

Full work available at URL: https://doi.org/10.1063/1.3290646

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) 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) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (17)

Structures of a class of deformative super W-algebras ⋮ θ-Unitary representations for theW-algebraW(2,2) ⋮ Determinant formula and a realization for the Lie algebra \(W(2,2)\) ⋮ Structure of the planar Galilean conformal algebra ⋮ \(q\)-deformation of \(W(2, 2)\) Lie algebra associated with quantum groups ⋮ Aspects of infinite dimensional ℓ-super Galilean conformal algebra ⋮ Verma modules over the \(W(2,2)\) algebras ⋮ Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra ⋮ The superalgebra of W(2,2) and its modules of the intermediate series ⋮ Unnamed Item ⋮ Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra ⋮ Representations of the ExtendedW-Algebra ⋮ Verma modules over deformed generalized Heisenberg-Virasoro algebras ⋮ On free field realizations of \(W(2,2)\)-modules ⋮ Lie super-bialgebra structures on a class of generalized super W-algebra L ⋮ The deformed Lie algebra of differential operators of order at most one ⋮ Representations of the planar Galilean conformal algebra

Cites Work

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• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• Moduli spaces of curves and representation theory
• On the structure of Verma modules over Virasoro and Neveu-Schwarz algebras
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• 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
• Classification of irreducible weight modules over W-algebra W(2,2)
• Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero

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