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From Leibniz Algebras to Lie 2-algebras

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Abstract

In this paper, we construct a Lie 2-algebra associated to every Leibniz algebra via the skew-symmetrization.

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Authors and Affiliations

  1. Department of Mathematics, Jilin University, Changchun, 130012, China

    Yunhe Sheng

  2. Department of Mathematics, Peking University, Beijing, 100871, China

    Zhangju Liu

Authors
  1. Yunhe Sheng
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  2. Zhangju Liu
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Corresponding author

Correspondence to Yunhe Sheng.

Additional information

Presented by Michel Van den Bergh.

Research supported by NSF of China (11101179, 11471139) and NSF of Jilin Province (20140520054JH).

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Sheng, Y., Liu, Z. From Leibniz Algebras to Lie 2-algebras. Algebr Represent Theor 19, 1–5 (2016). https://doi.org/10.1007/s10468-015-9556-5

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  • DOI: https://doi.org/10.1007/s10468-015-9556-5

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