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Quadratic Lie Superalgebras Generalized by Balinsky–Novikov Superalgebras
基金项目:Supported by National Natural Science Foundation of China (Grant No. 11401425)
摘    要:Balinsky–Novikov superalgebras were introduced by Balinsky for constructing super-Virasoro 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.


Quadratic Lie Superalgebras Generalized by Balinsky–Novikov Superalgebras
Authors:Tao  Yi  Chen  Zhi Qi  Wang  Yan
Institution:1. Chern Institute of Mathematics, Nankai University, Tianjin 300071, P. R. China;2. School of Mathematical Science & LPMC, Nankai University, Tianjin 300071, P. R. China;3. School of Mathematics, Tianjin University, Tianjin 300350, P. R. China
Abstract:Balinsky-Novikov superalgebras were introduced by Balinsky for constructing super-Virasoro 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.
Keywords:Balinsky-Novikov superalgebra  Lie superalgebra  quadratic Lie superalgebra  
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