Derivation Algebras And Automorphism Groups Of (?)(2, 1) As A Dialgebra And A Leinbiz Algebra

In this paper,we define a new associative dialgebra and Leibniz algebra over a divided power algebra(?)(2,1) over a field F with charF=p.Firstly, left derivations,right derivations,derivations and automorphisms of(?)(2,1) as an associative dialgebra are determined.Then,we determine the non-positive homogeneous derivations of(?)(2,1) as a Leibniz algebra,and automorphisms of Leibniz algebra(?)(2,1) preserving the standard gradation.