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中文摘要：
针对特征大于3域上有限维奇Hamilton型李超代数偶部到奇部的导子问题，首先利用偶部的生成元集，通过计算导子在其生成元集上的作用，确定了偶部到奇部的负Z-齐次导子．然后应用偶部的性质，得到了偶部到奇部的非负Z-齐次导子；进而奇Hamilton李超代数偶部到奇部的导子得以刻画．所得结果对于进一步研究李超代数的结构、表示和分类有重要意义．
英文摘要：
For the problem of the derivations of the even part into the odd part of the finite-dimensional odd Hamiltonian superalgebras over a field of characteristic p 〉 3, by using the generating set of the even part and calculating the action of derivations on its generating set, the nonnegative Z-homogeneous derivations of the even part into the odd part were determined. Furthermore, by applying the properties of the even part, the negative Z-homogeneous derivations of the even part into the odd part were given. Therefore, all derivations of the even part into the odd part of the finite-dimensional odd Hamiltonian superalgebras were characterized, which has important significance to further study the structure, the representation and the classification of Lie superalgebras.
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