Characterising the bounded derived category of an hereditary abelian\n category

We show that if a (not necessarily algebraic) triangulated category T\ncontains an admissible hereditary abelian subcategory H, then we can lift the\ninclusion of H into T to a fully faithful triangle functor from the whole of\nthe bounded derived category of H to T. This allows us prove, for example, that\na triangulated category T is triangle equivalent to the bounded derived\ncategory of an hereditary abelian category if and only if T admits a split,\nbounded t-structure.\n