Restricted Representations of Lie Superalgebras of Hamiltonian Type

Restricted Representations of Lie Superalgebras of Hamiltonian Type
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DOI:
10.1007/s10468-011-9322-2
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发表时间:
2013-06
影响因子:
0.6
通讯作者:
Yufeng Yao;B. Shu
Yufeng Yao;B. Shu
中科院分区:
数学4区
文献类型:
--
作者:
Yufeng Yao;B. Shu

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设F是素数特征p> 2的代数闭域,H(n)是F上的哈密顿李超代数。对简单的受限H(n)模进行了研究和分类。进一步地,为受限Kac模块简单提供了充分必要条件。
LetFbe an algebraically closed field of prime characteristicp> 2,H(n) the Hamiltonian Lie superalgebra overF. The simple restrictedH(n)-modules are studied and classified. Furthermore, a sufficient and necessary condition is provided for restricted Kac modules to be simple.