Simple modules for some Cartan-type Lie superalgebras

Authors : Zhu WEİ, Yongzheng ZHANG, Qingcheng ZHANG

Pages : 129-152

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Publication Date : 2015-02-01

Article Type : Research Paper

Abstract :The modules are induced from the finite-dimensional Cartan-type modular Lie superalgebras W, S, H and K over a field of prime characteristic, respectively. We give the Cartan subalgebras of these modular Lie superalgebras. Using certain properties of the positive root vectors, we discuss the simplicity of these modules. 
Keywords : Cartan subalgebra, weight, maximal vector, simple module