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Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra

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Abstract

The compatible left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra with some natural grading conditions are completely determined. The results of the earlier work on left-symmetric algebra structures on the Virasoro algebra play an essential role in determining these compatible structures. As a corollary, any such left-symmetric algebra contains an infinite-dimensional nontrivial subalgebra that is also a submodule of the regular module.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China

    HongJia Chen

  2. School of Mathematics and Statistics, Changshu Institute of Technology, Changshu, 215500, China

    JunBo Li

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  1. HongJia Chen
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  2. JunBo Li
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Correspondence to HongJia Chen.

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Chen, H., Li, J. Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra. Sci. China Math. 57, 469–476 (2014). https://doi.org/10.1007/s11425-013-4648-3

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  • DOI: https://doi.org/10.1007/s11425-013-4648-3

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