Restricted representations of the Witt superalgebras
Restricted representations of the Witt superalgebras
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DOI：
10.1016/j.jalgebra.2010.04.032
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发表时间：
2010-08
影响因子：
0.9
通讯作者：
B. Shu;Chaowen Zhang
中科院分区：
文献类型：
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作者：
B. Shu;Chaowen Zhang
设k为特征为p>3的代数闭域，W(n)为k上的Witt代数的上逆，即秩n / k的Grassmann代数的超导的李超代数。研究了W(n)在限制超模范畴中的简单模和射影不可分解模。给出了该类简单模的特征表达式，并给出了该类简单模的Cartan不变量。
Let k be an algebraically closed field of characteristic p>3, and W(n) the superversion of the Witt algebra over k, i.e. the Lie superalgebra of superderivations of the Grassmann algebra of rank n over k. The simple modules and projective indecomposable modules in the restricted supermodule category for W(n) are studied. The character formulas for such simple modules are given, and the Cartan invariants for this category are presented.