CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA

By R. Lu, Kaiming Zhao. 2005

107 citations recorded by the source corpus.

In this paper, all irreducible weight modules with finite dimensional weight spaces over the twisted Heisenberg–Virasoro algebra are determined. There are two different classes of them. One class is formed by simple modules of intermediate series, whose nonzero weight spaces are all 1-dimensional; the other class consists of the irreducible highest weight modules and lowest weight modules.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3251445a471f8908f17ea5740e03301d627812ae

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In Algebra and Number Theory

1. Xiangqian Guo
2. R. Lu
3. Kaiming Zhao

In Geometry and Topology

1. Xiangqian Guo
2. R. Lu
3. Kaiming Zhao

In Statistical and Nonlinear Physics

1. Xiangqian Guo
2. R. Lu
3. Kaiming Zhao

Citations in the corpus

• Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra (2010, methodology): “From our proofs in Sections 3 and 4, one can easily see that the method we have employed here is conceptional and non-computational, which is totally different from those used in [23], [19] and [20].”