Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras

DOI10.1017/S0013091510001604zbMath1280.17022arXivmath/0607614OpenAlexW2103568433MaRDI QIDQ3167444

Xiangqian Guo, Kaiming Zhao, Rencai Lü

Publication date: 2 November 2012

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

Full work available at URL: https://arxiv.org/abs/math/0607614

zbMATH Keywords

weight moduleHarish-Chandra modulegeneralized Virasoro algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68)

Related Items (10)

Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra ⋮ Wiggling throat of extremal black holes ⋮ Shen-Larsson's modules for simple generalized Witt algebras ⋮ Jet modules for the centerless Virasoro-like algebra ⋮ Harish-Chandra modules over generalized Heisenberg-Virasoro algebras ⋮ \(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\) ⋮ Classification of irreducible quasifinite modules over map Virasoro algebras ⋮ Harish-Chandra modules for divergence zero vector fields on a torus ⋮ Tensor product weight modules for the mirror Heisenberg-Virasoro algebra ⋮ Realizations of conformal current-type Lie algebras

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