On the Lie triple derivations.

This article aims to interpret some Lie triple derivations of Tensor algebras T ⊗ F (a , b F) , using generalized quaternion algebra (a , b F) over a field F and assuming T as an F-linear associative algebra. The study concludes with complete description of all Lie triple derivations of A ⊗ _FL. It is pertinent to mention here that A is assumed to be a finite-dimensional commutative algebra and L is a simple Lie algebra over an algebraically closed field. [ABSTRACT FROM AUTHOR]