Irreducible Quasi-Finite Representations of a Block Type Lie Algebra

DOI10.1080/00927872.2012.717323zbMath1291.17006OpenAlexW1999776975MaRDI QIDQ5409797

Yucai Su, Yun Gao, Ming Gao

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.717323

zbMATH Keywords

Block type Lie algebrasquasi-finite

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 (4)

Dual Lie bialgebra structures of Poisson types ⋮ Classification of ℤ²-graded modules of intermediate series over a Block-type Lie algebra ⋮ \(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\) ⋮ Classification of irreducible Harish-Chandra modules over gap-\(p\) Virasoro algebras

Cites Work

• Quasifinite modules of a Lie algebra related to Block type
• Graded modules over the \(q\)-analog Virasoro-like algebra
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Classification of Harish-Chandra modules over the higher rank Virasoro algebras
• 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
• A Class of Infinite Dimensional Simple Lie Algebras

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