HARISH-CHANDRA MODULES OVER THE ℚ HEISENBERG–VIRASORO ALGEBRA

DOI10.1017/S1446788710001436zbMath1200.17006arXiv1003.3547OpenAlexW2964190308MaRDI QIDQ3164543

Xiangqian Guo, Kaiming Zhao, Xue-wen Liu

Publication date: 28 October 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3547

zbMATH Keywords

weight moduleintermediate seriesHeisenberg-Virasoro algebra

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) Graded Lie (super)algebras (17B70)

Related Items (3)

Jet modules for the centerless Virasoro-like algebra ⋮ Harish-Chandra modules over generalized Heisenberg-Virasoro algebras ⋮ Weight modules with a finite dimensional weight space over truncated Virasoro algebras

Cites Work

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• Highest weight modules over pre-exp-polynomial Lie algebras
• Generalized Heisenberg-Virasoro algebras
• Moduli spaces of curves and representation theory
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Representations of the Twisted Heisenberg–Virasoro Algebra and the Full Toroidal Lie Algebras
• Verma Modules Over the Generalized Heisenberg–Virasoro Algebra
• CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA
• Representations of Virasoro-Heisenberg Algebras and Virasoro-Toroidal Algebras
• Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero
• The Derivation Algebra and Automorphism Group of the Twisted Heisenberg–Virasoro Algebra

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