Verma Modules over a Block Lie Algebra

DOI10.1142/S1005386708000230zbMath1166.17001arXivmath/0512351WikidataQ115245093 ScholiaQ115245093MaRDI QIDQ3521681

Qifen Jiang, Yue Zhu Wu

Publication date: 26 August 2008

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512351

zbMATH Keywords

Verma modulesLie algebras of Block type

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)

Cites Work

• Highest weight representations of a Lie algebra of Block type
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Quadratic conformal superalgebras
• Unitary quasi-finite representations of \(W_\infty\)
• Classification of quasifinite modules over the Lie algebras of Weyl type.
• Quasifinite representations of a Lie algebra of Block type
• Generalizations of the Block algebras
• STRUCTURE OF THE LIE ALGEBRAS RELATED TO THOSE OF BLOCK
• Infinite-dimensional Lie algebras of generalized Block type
• Poisson Brackets and Structure of Nongraded Hamiltonian Lie Algebras Related to Locally-Finite Derivations
• Quasi-finite modules for Lie superalgebras of infinite rank
• Representations of the Quantized Weyl Algebra Associated to the Quantum Plane
• Structure of divergence-free Lie algebras
• Derivations and structure of the Lie algebras of Xu type

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