Special odd Lie superalgebras in prime characteristic |
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| Authors: | WenDe Liu JiXia Yuan |
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| Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin, 150006, China
2. School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, China
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| Abstract: | Let g be a finite dimensional special odd Lie superalgebra over an algebraically closed field $\mathbb{F}$ of characteristic p > 3. The sufficient and necessary condition is given for g possessing a nondegenerate associative form and in this case the second cohomology group H2(g, $H^2 (\mathfrak{g},\mathbb{F})$ ) is completely determined. |
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| Keywords: | Lie superalgebra associative form cohomology |
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