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On the deformation of Lie-Yamaguti algebras

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Abstract

The deformation theory of Lie-Yamaguti algebras is developed by choosing a suitable cohomology. The relationship between the deformation and the obstruction of Lie-Yamaguti algebras is obtained.

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Authors and Affiliations

  1. Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin, 300300, P. R. China

    Jie Lin

  2. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P. R. China

    Liang Yun Chen & Yao Ma

Authors
  1. Jie Lin
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  2. Liang Yun Chen
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  3. Yao Ma
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Corresponding author

Correspondence to Liang Yun Chen.

Additional information

Supported by NSFC (Grant Nos. 11226054, 11171055 and 11471090 ), Scientific Research Foundation of civil Aviation University of China (Grant No. 09QD08X), Fundamental Research Funds for the Central Universities (Grant No. 3122014K011), Natural Science Foundation of Jilin province (Grant No. 201115006) and Scientific Research Foundation for Returned Scholar Ministry of Education of China

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Lin, J., Chen, L.Y. & Ma, Y. On the deformation of Lie-Yamaguti algebras. Acta. Math. Sin.-English Ser. 31, 938–946 (2015). https://doi.org/10.1007/s10114-015-4106-y

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  • DOI: https://doi.org/10.1007/s10114-015-4106-y

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