Acta Mathematica Sinica, English Series

, Volume 35, Issue 2, pp 213–226 | Cite as

Quadratic Lie Superalgebras Generalized by Balinsky–Novikov Superalgebras

  • Yi Tao
  • Zhi Qi Chen
  • Yan WangEmail author


Balinsky–Novikov superalgebras were introduced by Balinsky for constructing super-Vira-soro type Lie superalgebras. In this paper, we give sufficient and necessary conditions for a Lie superalgebra generalized by a Balinsky–Novikov superalgebra with dimension 2|2 to be a quadratic Lie superalgebra.


Balinsky–Novikov superalgebra Lie superalgebra quadratic Lie superalgebra 

MR(2010) Subject Classification

17B65 17A70 


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The authors are very grateful for the helpful comments and suggestions from the referees.


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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science (CAS), Chinese Mathematical Society (CAS) and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Chern Institute of MathematicsNankai UniversityTianjinP. R. China
  2. 2.School of Mathematical Science & LPMCNankai UniversityTianjinP. R. China
  3. 3.School of MathematicsTianjin UniversityTianjinP. R. China

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