Verma modules over generalized Virasoro algebras Vir[\(G\)]

DOI10.1016/S0022-4049(02)00173-1zbMath1040.17023OpenAlexW1966644576MaRDI QIDQ1861469

Jun Hu, Kaiming Zhao, Wang, Xiandong

Publication date: 9 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(02)00173-1

zbMATH Keywords

simple moduleVerma modulegeneralized Virasoro algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68)

Related Items (23)

Weight modules over exp-polynomial Lie algebras ⋮ Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra ⋮ Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras ⋮ θ-Unitary representations for theW-algebraW(2,2) ⋮ Classification of irreducible weight modules over higher rank Virasoro algebras ⋮ Generalized Verma modules over some block algebras ⋮ Verma Modules Over the Generalized Heisenberg–Virasoro Algebra ⋮ Verma modules for rank two Heisenberg-Virasoro algebra ⋮ Highest weight representations of a family of Lie algebras of Block type ⋮ UNITARY REPRESENTATIONS FOR THE SCHRÖDINGER–VIRASORO LIE ALGEBRA ⋮ Classification of irreducible quasifinite modules over map Virasoro algebras ⋮ Quasi-finite Irreducible Graded Modules for the Virasoro-like Algebra ⋮ Generalized Verma Modules over Lie Algebras of Weyl Type ⋮ Verma modules over deformed generalized Heisenberg-Virasoro algebras ⋮ Highest weight representations of a Lie algebra of Block type ⋮ \(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\) ⋮ Automorphisms and Verma modules for generalized Schrödinger-Virasoro algebras ⋮ Verma Modules Over Generalized Block AlgebrasB(b⁽¹⁾,b⁽²⁾) ⋮ Verma modules over Virasoro-like algebras ⋮ Whittaker Modules over Generalized Virasoro Algebras ⋮ A class of new simple modules for \(\mathfrak{sl}_{n + 1}\) and the Witt algebra ⋮ Nonzero level Harish-Chandra modules over the Virasoro-like algebra ⋮ Automorphisms and Verma Modules for Generalized 2-dim Affine-Virasoro Algebra

Cites Work

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• The higher rank Virasoro algebras
• New simple infinite-dimensional Lie algebras of characteristic 0
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Representations of the Witt algebra
• Simple Lie algebras of Witt type
• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• On Generalized Witt Algebras
• Harish–Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras
• Derivations, isomorphisms, and second cohomology of generalized Witt algebras
• Classification of Generalized Witt Algebras Over Algebraically Closed Fields

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