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中文摘要：
研究了素特征域上有限维Hamilton李超代数的偶部h的结构.首先给出偶部h的一个极大理想J,并证明h到W的导子可以通过J到W的导子得到,这里W是广义Witt超代数的偶部.接着给出理想J的一个生成元集并给出三类h到W的外导子.利用上面结果,计算零化h的非正Z-分支的导子.最后,刻画了h到W的Z-次数为奇数以及Z-次数为负的齐次导子.
英文摘要：
The authors study the structure of the even part η of the finite-dimensional Hamiltonian superalgebra over a field of prime characteristic.First they give a maximal ideal J of η and show that the derivations from η into ■ can be obtained by the derivations from J into ■,where ■ is the even part of the generalized Witt superalgebra.Then they give the generating set of the ideal J and define three series of outer derivations from η into ■.By using the results above,the derivations vanishing on the non-positive Z-components of η are computed.Finally the odd Z-homogeneous derivations and negative Z-homogeneous derivations from η into ■ are determined.
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