A note on the rank of a restricted Lie algebra

preprint2016arXivOpen access

In this short note, we study the rank of a restricted Lie algebra $(\mathfrak{g},[p])$ and give some applications, which concerns the dimensions of non-trivial irreducible modules. We also compute the rank of the restricted contact algebra $K(n)$ .

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A note on the rank of a restricted Lie algebra

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