Classification of irreducible weight modules over W-algebra W(2,2)

DOI10.1063/1.2996291zbMath1159.81329arXiv0801.2603OpenAlexW2150801243MaRDI QIDQ3624647

Dong Liu, Shoulan Gao, Lin Sheng Zhu

Publication date: 30 April 2009

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

Full work available at URL: https://arxiv.org/abs/0801.2603

zbMATH Keywords

Harish-Chandra module\(W\)-algebra \(W(2,2)\)irreducible weight modulesinfinite dimensional weight space

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (22)

U ( h ) -free modules over the super-Galilean conformal algebras ⋮ Structures of a class of deformative super W-algebras ⋮ Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra ⋮ θ-Unitary representations for theW-algebraW(2,2) ⋮ Whittaker modules over loop Virasoro algebra ⋮ \(q\)-deformation of \(W(2, 2)\) Lie algebra associated with quantum groups ⋮ Verma modules over the \(W(2,2)\) algebras ⋮ Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra ⋮ Left-symmetric algebra structures on the \(W\)-algebra \(W(2, 2)\) ⋮ The superalgebra of W(2,2) and its modules of the intermediate series ⋮ Deformations on the twisted Heisenberg-Virasoro algebra ⋮ Lie Bialgebra Structures on the Centerless W-Algebra W(2,2) ⋮ Representations of the ExtendedW-Algebra ⋮ \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis ⋮ Non-weight modules over the Heisenberg–Virasoro algebra and the W algebra W(2,2) ⋮ Quantizations of the \(W\)-algebra \(W(2,2)\) ⋮ On free field realizations of \(W(2,2)\)-modules ⋮ Higher-order Galilean contractions ⋮ Lie super-bialgebra structures on a class of generalized super W-algebra L ⋮ On the structure of Verma modules over the W-algebra W(2,2) ⋮ Dual Lie bialgebra structures of \(W\)-algebra \(W(2, 2)\) type ⋮ Weight modules with a finite dimensional weight space over truncated Virasoro algebras

Cites Work

• Classification of simple weight Virasoro modules with a finite-dimensional weight space
• On classification of rational vertex operator algebras with central charges less than 1
• Moduli spaces of curves and representation theory
• Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra

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