Local derivations on the Witt algebra in prime characteristic
Yu-Feng Yao
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.
Topics & Concepts
MathematicsPrime (order theory)Witt algebraSubalgebraPure mathematicsAlgebra over a fieldField (mathematics)DerivationWitt vectorAlgebra representationCombinatoricsCellular algebraArterySurgeryMedicineAdvanced Topics in AlgebraAlgebraic structures and combinatorial modelsAdvanced Algebra and Geometry