대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제60권3호
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  • Pages.747-762
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  • 2023
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2022.05.28
  • 심사 : 2022.12.15
  • 발행 : 2023.05.31
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초록

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.

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과제정보

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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