The N-derivations Of Several Types Of Lie Algebras, And The Structure Of Post-Lie Algebras

Biderivations of planar Galilean conformal algebra,n-deriations of the extended Schr(?)dinger-Virasoro Lie algebra and graded post-Lie algebra structures on W(2,2)and its applications are studied in this paper,respectively.In section 1,using the derivations of planar Galilean conformal algebra,biderivations of planar Galilean conformal algebra without skew-symmetric condition are characterized.In section2,using the derivations of the extended Schr(?)dinger-Virasoro Lie algebra,biderivations and n-derivations(n ? 3)of the extended Schr(?)dinger-Virasoro Lie algebra without skew-symmetric condition are characterized.In section 3,we describe the graded post-Lie algebra structures on the W-algebra W(2,2).As applications,the homogeneous Rota-Baxter operators on W(2,2)and solutions of the formal classical Yang-Baxter equation are strudied.