On the restricted Lie algebra structure for the Witt Lie algebra in finite characteristic
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On the restricted Lie algebra structure for the Witt Lie algebra in finite characteristic

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https://arxiv.org/pdf/math/0111271.pdf
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Abstract

We show that the p-operator in the Witt algebra (the restricted Lie algebra of derivations of the quotient of the polynomial algebra over a field of characteristic p by the ideal generated by the p-th power of the indeterminant) is given by multiplication by a scalar.

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