Non-restricted representations of simple Lie superalgebras of special type and Hamiltonian type
Non-restricted representations of simple Lie superalgebras of special type and Hamiltonian type
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DOI：
10.1007/s11425-012-4486-8
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发表时间：
2013-01
影响因子：
1.4
通讯作者：
Yufeng Yao
中科院分区：
文献类型：
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作者：
Yufeng Yao
设 是素数特征 p > 2 的代数闭域，g 是特殊类型或哈密顿类型的简单李超代数。我们构造了高度超过 1 的非奇异字符的简单 g 模块，以及高度超过 5 的奇异字符的一些简单模块。此外，对于特殊类型李超代数的情况，我们还构造了一类具有高度为一的正则半单字符的简单模。上面提到的所有这些简单模块都被证明是简化的Kac模块。
Letbe an algebraically closed field of prime characteristicp> 2, andgbe a simple Lie superalgebra of special type or Hamiltonian type over. We construct the simple g-modules with non-singular characters of height more than one, and some simple modules with singular characters of height more than five. Furthermore, for the case of special type Lie superalgebras, we also construct a class of simple modules with regular semisimple characters of height one. All those simple modules mentioned above are proved to be reduced Kac modules.