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Structure of contact Lie algebras related to locally-finite derivations

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Abstract.

In this paper, we determine the isomorphism classes of contact simple Lie algebras constructed from locally-finite commuting derivations, introduced earlier by the second author. These algebras are in general not finitely graded.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200030, P.R. China

    Yucai Su

  2. Institute of Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100080, P.R. China

    Xiaoping Xu

Authors
  1. Yucai Su
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  2. Xiaoping Xu
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Corresponding author

Correspondence to Yucai Su.

Additional information

Supported by NSF grant 10171064 of China and two grants ``Excellent Young Teacher Program'' and ``Trans-Century Training Programme Foundation for the Talents'' from Ministry of Education of China

Mathematical Subject Classification (2000): Primary 17B65; Secondary 58F05

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Su, Y., Xu, X. Structure of contact Lie algebras related to locally-finite derivations. manuscripta math. 112, 231–257 (2003). https://doi.org/10.1007/s00229-003-0398-9

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  • DOI: https://doi.org/10.1007/s00229-003-0398-9

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