Crystal B(λ)B(λ) as a subset of crystal B(∞)B(∞) expressed as tableaux for AnAn type

The crystal B(∞)⊗TλB(∞)⊗Tλ is known to contain a copy of the irreducible highest weight crystal B(λ)B(λ) as a sub-crystal. By explicitly identifying the elements belonging to the mentioned sub-crystal, we present two realizations of B(λ)B(λ) that are based on two realizations of B(∞)B(∞), for the special linear Lie algebra type. The first description of B(λ)B(λ) is based on our new realization of B(∞)B(∞) as the set of all marginally large reverse tableaux and the second is based on a previous realization of B(∞)B(∞) as the set of all marginally large tableaux. We further present two new Nakajima monomial realizations of B(λ)B(λ) that correspond naturally to our reverse tableau and tableau realizations.