Irreducible quasifinite modules over a class of Lie algebras of Block type

DOI10.4310/AJM.2014.v18.n5.a3zbMath1361.17014MaRDI QIDQ488057

Kaiming Zhao, Hongjia Chen, Xiangqian Guo

Publication date: 23 January 2015

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ajm/1417489243

zbMATH Keywords

Virasoro algebraquasifinite moduleBlock type 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)

Related Items (11)

Non-weight modules over algebras related to the Virasoro algebra ⋮ A category of restricted modules for the Ovisenko-Roger algebra ⋮ Non-weight modules over the block type algebra \(\mathcal{B}^\prime(p, q)\) ⋮ Non-weight representations of Lie superalgebras of block type. I ⋮ Jet modules for the centerless Virasoro-like algebra ⋮ On classification of quasifinite representations of two classes of Lie superalgebras of block type ⋮ Weight modules over a class of graded Lie algebras ⋮ \(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\) ⋮ Structure of a class of Lie algebras of Block type, II ⋮ Irreducible modules of toroidal Lie algebras arising from \(\phi_\varepsilon\)-coordinated modules of vertex algebras ⋮ Transposed Poisson structures on Block Lie algebras and superalgebras

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