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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Quadratic Lie Superalgebras Generalized by Balinsky–Novikov Superalgebras |
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Authors: | Tao Yi Chen Zhi Qi Wang Yan |
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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 |
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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. |
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Keywords: | Balinsky-Novikov superalgebra Lie superalgebra quadratic Lie superalgebra |
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