Filtration Structure of Finite-Dimensional Special Odd Hamiltonian Superalgebras in Prime Characteristic
Filtration Structure of Finite-Dimensional Special Odd Hamiltonian Superalgebras in Prime Characteristic
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发表时间：
2009
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通讯作者：
何英华;刘文德;李彬
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作者：
何英华;刘文德;李彬
研究了素特征域上有限维特殊奇汉密尔顿超代数的滤子结构.通过确定偶数部分的ad-幂零元，证明了特殊奇Hamilton s-代数的自然滤子是不变的.利用这个结果，对特殊的奇Hamilton超代数进行了分类.最后确定了限制艾德特殊奇汉密尔顿超代数的自同构群。
The filtration structure of finite-dimensional special odd Hamilton superalgebr as over a field of prime characteristic was studied. By determining ad-nilpoten t elements in the even part, the natural filtration of special odd Hamiltonian s uperalgebras is proved to be invariant. Using this result, the special odd Hamil ton superalgebras is classified. Finally, the automorphism group of the restrict ed special odd Hamilton superalgebras is determined.