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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Using certain properties of the positive root vectors, we discuss the simplicity of these modules.
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data:We give the Cartan subalgebras of these modular Lie superalgebras.
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Conclusion & Impact:Using certain properties of the positive root vectors, we discuss the simplicity of these modules.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Cartan subalgebra · weight · maximal vector
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.
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Cite This Article
WEI, Z., ZHANG, Y., ZHANG, Q. (2022). Simple modules for some Cartan-type Lie superalgebras. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 1, 129–152. https://ajindex.com/articles/530206