Title: On Graded Lie Algebras of Characteristic Three With Classical Reductive Null Component,
Abstract: We consider finite-dimensional irreducible transitive graded Lie algebras $L
= \sum_{i=-q}^rL_i$ over algebraically closed fields of characteristic three.
We assume that the null component $L_0$ is classical and reductive. The adjoint
representation of $L$ on itself induces a representation of the commutator
subalgebra $L_0'$ of the null component on the minus-one component $L_{-1}.$ We
show that if the depth $q$ of $L$ is greater than one, then this representation
must be restricted.