模李超代数P(2)的诱导模
Induced Module of Modular Lie Superalgebra P(2)
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摘要: 令g=P(2)是特征p>2的代数闭域F上模李超代数,构造了诱导模Indg+gV,刻画其结构.通过计算其最高权向量,证明了诱导模的不可约性.Abstract: Let g=P(2) be a modular Lie superalgebra over the algebraic closed field F of characteristic p > 2. Induced module Indg+gV was constructed, the structure of induced module was studied. The irreducibility of induced module was proved by computing its highest weight vector.