Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THE CLASSIFICATION OF ω-LEFT-SYMMETRIC ALGEBRAS IN LOW DIMENSIONS

  • Zhiqi Chen (School of Mathematics and Statistics Guangdong University of Technology) ;
  • Yang Wu (School of Mathematical Sciences and LPMC Nankai University)
  • Received : 2022.05.28
  • Accepted : 2022.12.15
  • Published : 2023.05.31
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Abstract

ω-left-symmetric algebras contain left-symmetric algebras as a subclass and the commutator defines an ω-Lie algebra. In this paper, we classify ω-left-symmetric algebras in dimension 3 up to an isomorphism based on the classification of ω-Lie algebras and the technique of Lie algebras.

Keywords

Acknowledgement

This work was partially supported by NNSF of China (11931009 and 12131012) and Guangdong Basic and Applied Basic Research Foundation (2023A1515010001).

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