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November 2014 Irreducible quasifinite modules over a class of Lie algebras of block type
Hongjia Chen, Xiangqian Guo, Kaiming Zhao
Asian J. Math. 18(5): 817-828 (November 2014).


For any nonzero complex number $q$, there is a Lie algebra of Block type, denoted by $\mathcal{B}(q)$. In this paper, a complete classification of irreducible quasifinite modules is given. More precisely, an irreducible quasifinite module is a highest weight or lowest weight module, or a module of intermediate series. As a consequence, a classification for uniformly bounded modules over another class of Lie algebras, the semi-direct product of the Virasoro algebra and a module of intermediate series, is also obtained. Our method is conceptional, instead of computational.


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Hongjia Chen. Xiangqian Guo. Kaiming Zhao. "Irreducible quasifinite modules over a class of Lie algebras of block type." Asian J. Math. 18 (5) 817 - 828, November 2014.


Published: November 2014
First available in Project Euclid: 2 December 2014

zbMATH: 1361.17014
MathSciNet: MR3287004

Primary: 17B10, 17B20, 17B65, 17B66, 17B68

Rights: Copyright © 2014 International Press of Boston


Vol.18 • No. 5 • November 2014
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