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Embedding theorem ofZ-graded Lie superalgebras

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Abstract

The embedding theorem ofZ-graded Lie superalgebras is given and proved. As a subsidiary result it is proved that a transitiveZ-graded restricted lie superalgebm\(G = \mathop \oplus \limits_{i \geqslant - 1} G_i \) must be isomorphic toW(m,n, 1) if the dimension ofG i satisfies a certain condition.

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Authors and Affiliations

  1. Department of Mathematics, Northeast Normal University, 130024, Changchun, China

    Yongzheng Zhang

  2. Department of Mathematics, Huadong Normal University, 200062, Shanghai, China

    Guangyu Shen

Authors
  1. Yongzheng Zhang
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  2. Guangyu Shen
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Additional information

Project supported by the National Natural Science Foundation of China and the Science of the University Doctoral Program of CNEC.

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Zhang, Y., Shen, G. Embedding theorem ofZ-graded Lie superalgebras. Sci. China Ser. A-Math. 41, 1009–1016 (1998). https://doi.org/10.1007/BF02871834

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  • DOI: https://doi.org/10.1007/BF02871834

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