Derivations of the even part of the odd hamiltonian superalgebra in modular case
Derivations of the even part of the odd hamiltonian superalgebra in modular case
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DOI：
10.1007/s10114-008-6547-z
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发表时间：
2009-02
期刊：
影响因子：
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通讯作者：
Wen Liu;Xiuying Hua;Yu-cai Su
中科院分区：
文献类型：
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作者：
Wen Liu;Xiuying Hua;Yu-cai Su
本文主要研究素特征域上有限维奇Hamilton超代数HO偶部分的导子。我们首先给出了HO的偶部的生成集。然后计算了广义Witt超代数的从到偶部分的导子.最后，我们确定了g的导子代数和外导子代数以及维数公式。特别地，确定了第一上同调群H1（;）和H1（;）。
In this paper we mainly study the derivations for even part of the finite-dimensional odd Hamiltonian superalgebraHOover a field of prime characteristic. We first give the generating set of the even partofHO. Then we compute the derivations frominto the even partof the generalized Witt superalgebra. Finally, we determine the derivation algebra and outer derivation algebra of g and the dimension formulas. In particular, the first cohomology groupsH1(;) andH1(;) are determined.