The Double Derivation Of Some Lie Algebras And The Exchange Postal Algebra Structure

Biderivation is an important subject in the theory of structure of algebra.Bre(?)ar has proved that all the biderivations on the commutative rings are all inner biderivation.The theory is useful in the study of commutative mappings.An article in 2011 introduced its concept.Since then,more and more studies have begun to study the biderivation of Lie algebra.Therefore,it may be meaningful for computing the biderivation of some important Lie algebras.In this paper,We will study the biderivation of Schr(?)dinger algebra and Witt algebra.First,we introduce their definitions,then,we prove that their biderivations are inner biderivation.Finally,we give some applications of biderivation,such as commutative linear mapping and post Lie algebra.