Whittaker modules over Virasoro-like algebra

DOI10.1063/1.3641245zbMath1272.17028OpenAlexW2023118403MaRDI QIDQ2849781

Xiangqian Guo, Xue-wen Liu

Publication date: 24 September 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3641245

zbMATH Keywords

irreducible modulesmaximal submodulesirreducible quotient modules

Mathematics Subject Classification ID

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

Related Items (15)

Whittaker modules over loop Virasoro algebra ⋮ Twisted Whittaker modules over \(U_q (\mathfrak{gl}_{n+1})\) ⋮ Representations of the BMS-Kac-Moody algebra ⋮ Whittaker modules and quasi-Whittaker modules for the Euclidean Lie algebra \(\mathfrak{e}(3)\) ⋮ Verma modules for rank two Heisenberg-Virasoro algebra ⋮ New simple modules for the Heisenberg-Virasoro algebra ⋮ Irreducible weight modules for the Virasoro-like algebra and its q-analog ⋮ Jet modules for the centerless Virasoro-like algebra ⋮ \(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\) ⋮ Classification on irreducible Whittaker modules over quantum group \(U_q(\mathfrak{sl}_3,\Lambda)\) ⋮ Simple restricted modules for the Heisenberg-Virasoro algebra ⋮ Simple Schrödinger modules which are locally finite over the positive part ⋮ Quasi-Whittaker modules for the Schrödinger algebra ⋮ Whittaker pairs for the Virasoro algebra and the Gaiotto-Bonelli-Maruyoshi-Tanzini states ⋮ The twisted Whittaker modules over the quantum group of type B₂

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