  We consider two bases for an arbitrary finite dimensional irreducible
representation of a complex special linear Lie algebra: the classical
Gelfand-Tsetlin basis and the relatively new Chari-Loktev basis. Both are
parametrized by the set of (integral Gelfand-Tsetlin) patterns with a fixed
bounding sequence determined by the highest weight of the representation. We
define the "row-wise dominance" partial order on this set of patterns, and
prove that the transition matrix between the two bases is triangular with
respect to this partial order. We write down explicit expressions for the
diagonal elements of the transition matrix.
