Irreducible weight modules for the Virasoro-like algebra and its q-analog

DOI10.1080/00927872.2016.1172619zbMath1406.17028OpenAlexW2528708872MaRDI QIDQ2976183

Xiangqian Guo, Zhen Wei, Xue-wen Liu

Publication date: 28 April 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1172619

zbMATH Keywords

irreducible modulesVirasoro-like algebra\(\mathfrak{sl}_2\)-modulesShen-Larsson's modules

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

• Classification of irreducible representations of Lie algebra of vector fields on a torus
• Highest weight modules over pre-exp-polynomial Lie algebras
• Some infinite-dimensional simple Lie algebras in characteristic \(0\) related to those of Block
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
• Nonzero level Harish-Chandra modules over the Virasoro-like algebra
• IRREDUCIBLE HARISH CHANDRA MODULES OVER THE DERIVATION ALGEBRAS OF RATIONAL QUANTUM TORI
• Whittaker modules over Virasoro-like algebra
• New irreducible weight modules over Witt algebras with infinite-dimensional weight spaces
• Jet Modules
• Central and noncentral extensions of multi-graded Lie algebras
• A q-analog for the virasoro algebra
• CONFORMAL FIELDS: A CLASS OF REPRESENTATIONS OF Vect(N)
• Quasi-finite Irreducible Graded Modules for the Virasoro-like Algebra
• Irreducible weight modules over Witt algebras
• Verma modules over Virasoro-like algebras

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