| Quadratic Lie Superalgebras Generalized by Balinsky–Novikov Superalgebras |
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| 基金项目： | Supported by National Natural Science Foundation of China (Grant No. 11401425) |
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| 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.
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