English

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

Representation Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0111271,
  title  = {On the restricted Lie algebra structure for the Witt Lie algebra in finite characteristic},
  author = {Tyler J. Evans and Dmitry Fuchs},
  journal= {arXiv preprint arXiv:math/0111271},
  year   = {2007}
}

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6 Pages