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Local derivations on the Witt algebra in prime characteristic

Yu-Feng YaoDepartment of Mathematics, Shanghai Maritime University, Shanghai, People's Republic of China
2020en
ABI

Abstract

Let g be the Witt algebra over an infinite field of prime characteristic p. In this paper, we discuss the properties of local derivations on g, and prove that every local derivation on g is a derivation. Moreover, it is shown that there exist some local derivations which are not derivations for the maximal subalgebra g0 of g.

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Cited by 110 references