Irreducible modules over the mirror Heisenberg–Virasoro algebra

DOI10.1142/S0219199721500267zbMath1491.17006OpenAlexW3127348297MaRDI QIDQ5073736

Kaiming Zhao, Dong Liu, Yufeng Pei, Li-Meng Xia

Publication date: 3 May 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199721500267

zbMATH Keywords

Virasoro algebraVerma moduleHarish-Chandra modulerestricted modulemirror Heisenberg-Virasoro algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional Lie (super)algebras (17B65)

Related Items

Restricted modules and associated vertex algebras of extended Heisenberg-Virasoro algebra ⋮ Simple restricted modules for the universal central extension of the planar Galilean conformal algebra ⋮ Characterization of simple smooth modules ⋮ Restricted modules over some ℤ-graded Lie algebras ⋮ Representations of the BMS-Kac-Moody algebra ⋮ Simple restricted modules over the \(N = 1\) Ramond algebra as weak modules for vertex operator superalgebras ⋮ Restricted modules for gap-\(p\) Virasoro algebra and twisted modules for certain vertex algebras ⋮ Tensor product weight modules for the mirror Heisenberg-Virasoro algebra ⋮ Non-weight modules over the mirror Heisenberg-Virasoro algebra

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