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

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

2001-11-27

arxiv.org/abs/math/0111271v1

Mathematics

Representation Theory

6 Pages

Scientific paper

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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