Adjoint crystals and Young walls for Up(sl2)

We develop the combinatorics of Young walls associated with higher level adjoint crystals for the quantum affine algebra U"q(sl"[email protected]^). The irreducible highest weight crystal B(@l) of arbitrary level is realized as the affine crystal consisting of reduced Young walls on @l. We also give a Young wall realization of the crystal B(~) for U"q^-(sl"[email protected]^).