Simple Heisenberg-Virasoro modules from Weyl algebra modules

DOI10.1016/j.jalgebra.2023.09.045zbMath1529.17016MaRDI QIDQ6066501

Shu-Juan Li, Xiangqian Guo, Junyi Zhu

Publication date: 16 November 2023

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

zbMATH Keywords

Weyl algebrairreducible modulesHeisenberg-Virasoro algebrarestricted modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory of associative rings and algebras (16G99)

Cites Work

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• Irreducible modules over the Virasoro algebra
• Classification of irreducible weight modules with a finite-dimensional weight space over twisted Heisenberg-Virasoro algebra
• Moduli spaces of curves and representation theory
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• New simple Virasoro modules from Weyl algebra modules
• Generalized oscillator representations of the twisted Heisenberg-Virasoro algebra
• New simple modules for the Heisenberg-Virasoro algebra
• A class of simple weight modules over the twisted Heisenberg-Virasoro algebra
• Characterization of Simple Highest Weight Modules
• Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra
• CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA
• Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero
• Whittaker modules for the twisted Heisenberg–Virasoro algebra
• Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra

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