On the Restricted Lie Algebra Structure for the Witt Lie Algebra in Finite Characteristic
نویسنده
چکیده
The Lie algebra W = DerA is called the Witt algebra. It consists of “vector fields” f∂, f ∈ A. In particular, dimF W = dimF A = p. As any Lie algebra of derivations of a commutative algebra over F, W has a canonical structure of a restricted Lie algebra. Recall that a restricted Lie algebra is a Lie algebra over F with an additional unary (in general, non-linear) operation g 7→ g satisfying the conditions (λg) = λg (λ ∈ F), ad(g) = (ad g),
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