Quasifinite modules of a Lie algebra related to Block type

DOI10.1016/j.jpaa.2007.03.005zbMath1136.17020OpenAlexW1974264227WikidataQ115345607 ScholiaQ115345607MaRDI QIDQ995619

Qing Wang, Shaobin Tan

Publication date: 3 September 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2007.03.005

zbMATH Keywords

quasifinite moduleLie algebras related to Block type

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70)

Related Items (19)

Structure of a Class of Lie Algebras of Block Type ⋮ Non-weight modules over algebras related to the Virasoro algebra ⋮ The Lie Conformal Algebra of a Block Type Lie Algebra ⋮ Classification of ℤ²-graded modules of intermediate series over a Block-type Lie algebra ⋮ Non-weight modules over \(N = 1\) Lie superalgebras of Block type ⋮ Biderivations of a Lie algebra of Block type and applications ⋮ Quasifinite representations of a class of Block type Lie algebras \(\mathcal B(q)\) ⋮ Non-weight representations of Lie superalgebras of block type. I ⋮ Classification of quasifinite representations of a Lie algebra related to Block type ⋮ On classification of quasifinite representations of two classes of Lie superalgebras of block type ⋮ \(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\) ⋮ Irreducible Quasi-Finite Representations of a Block Type Lie Algebra ⋮ \(\phi_\varepsilon\)-coordinated modules for vertex algebras ⋮ Structure of a class of Lie algebras of Block type, II ⋮ Automorphisms and Verma modules for generalized Schrödinger-Virasoro algebras ⋮ Harish-Chandra modules for divergence zero vector fields on a torus ⋮ Strongly graded vertex algebras generated by vertex Lie algebras ⋮ Classification of irreducible Harish-Chandra modules over gap-\(p\) Virasoro algebras ⋮ Derivations and Automorphisms of a Lie Algebra of Block Type

Cites Work

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• Classification of Harish-Chandra modules over the higher rank Virasoro algebras
• Quadratic conformal superalgebras
• Unitary quasi-finite representations of \(W_\infty\)
• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• Classification of quasifinite modules over the Lie algebras of Weyl type.
• Quasifinite representations of a family of Lie algebras of Block type
• Quasifinite representations of a Lie algebra of Block type
• Generalizations of the Block algebras
• Harish-Chandra modules for the \(q\)-analog Virasoro-like algebra
• Nonzero level Harish-Chandra modules over the Virasoro-like algebra
• On Torsion-Free Abelian Groups and Lie Algebras
• Harish–Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras
• Leibniz Central Extension on a Block Lie Algebra

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