Classification of Indecomposable Modules of the Intermediate Series over Deformative Schrödinger-Virasoro Lie Algebras

DOI10.1142/S100538671400025XzbMath1367.17020OpenAlexW1980209521WikidataQ115244751 ScholiaQ115244751MaRDI QIDQ5411701

Tai-Jie You, Wei Wang, Ying Xu

Publication date: 25 April 2014

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

Full work available at URL: https://doi.org/10.1142/s100538671400025x

zbMATH Keywords

Virasoro algebraSchrödinger algebramodules of the intermediate series

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

• The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• A classification of indecomposable \(sl_ 2(\mathbb{C})\)-modules and a conjecture of Kac on irreducible modules over the Virasoro algebra
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• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• Schrödinger invariance and strongly anisotropic critical systems
• On vertex algebra representations of the Schrödinger-Virasoro Lie algebra
• CLASSIFICATION OF INFINITE DIMENSIONAL WEIGHT MODULES OVER THE LIE SUPERALGEBRAsl(2/1)
• Lie bialgebra structures on the Schrödinger–Virasoro Lie algebra
• Derivations and Automorphisms of Twisted Deformative Schrödinger–Virasoro Lie Algebras
• Classification of modules of the intermediate series over Ramond N=2 superconformal algebras
• CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA
• Structure of the Extended Schrödinger–Virasoro Lie Algebra $\widetilde{\mathfrak{sv}}$
• Harish–Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras
• Classification of harish-chandra modules over the super-virasoro algebras
• Classification of indecomposable modules of the intermediate series over the twisted N=2 superconformal algebra
• Whittaker modules for the Schrödinger–Witt algebra
• Representations of the Schrödinger–Virasoro algebras

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