Generalized Verma Modules over Lie Algebras of Weyl Type

DOI10.1142/S1005386709000157zbMath1177.17011WikidataQ115245077 ScholiaQ115245077MaRDI QIDQ3607462

Bin Xin, Yue Zhu Wu

Publication date: 2 March 2009

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://www.worldscinet.com/ac/16/1601/S1005386709000157.html

zbMATH Keywords

generalized Verma modulegeneralized Weyl algebraquasi-finite module

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)

Cites Work

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• Highest weight representations of a Lie algebra of Block type
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
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• Verma modules over generalized Virasoro algebras Vir[\(G\)]
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• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra
• Classification of quasifinite \({\mathcal W}_{\infty}\)-modules
• Verma Modules Over the Generalized Heisenberg–Virasoro Algebra
• Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle
• 2-COCYCLES ON THE LIE ALGEBRAS OF GENERALIZED DIFFERENTIAL OPERATORS
• Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle
• Quasi-finite modules for Lie superalgebras of infinite rank
• 2-Cocycles of the Lie Superalgebras of Weyl Type