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Quasifinite representations of a class of Block type Lie algebras B(q)

Published:2012-04 Issue:4 Volume:216 Page:923-934
ISSN:0022-4049
Container-title:Journal of Pure and Applied Algebra
language:en
Short-container-title:Journal of Pure and Applied Algebra

Author:

Su Yucai,Xia Chunguang,Xu Ying

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference22 articles.

1. On torsion-free abelian groups and Lie algebras;Block;Proc. Amer. Math. Soc.,1958

2. Derivations, isomorphisms and second cohomology of generalized Block algebras;Dokovic;Algebra Colloq.,1996

3. Unitary quasifinite representations of W∞;Kac;Lett. Math. Phys.,2000

4. Quasifinite highest weight modules over the Lie algebra of differential operators on the circle;Kac;Comm. Math. Phys.,1993

5. Classification of irreducible weight modules over higher rank Virasoro algebras;Lu;Adv. Math.,2006

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Representations of non-finitely graded Lie algebras related to Virasoro algebra;Forum Mathematicum;2024-06-26

2. Non-weight modules over the Block type algebra B′(p,q);Journal of Geometry and Physics;2023-11

3. Non-weight representations of Lie superalgebras of Block type, I;Journal of Geometry and Physics;2023-04

4. Transposed Poisson structures on Block Lie algebras and superalgebras;Linear Algebra and its Applications;2023-01

5. Irreducible modules of toroidal Lie algebras arising from ϕ-coordinated modules of vertex algebras;Journal of Algebra;2022-12

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