Adjoint crystals and Young walls for Uq(sl2̂)

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Abstract

We develop the combinatorics of Young walls associated with higher level adjoint crystals for the quantum affine algebra Uq(sl2̂). The irreducible highest weight crystal B(λ) of arbitrary level is realized as the affine crystal consisting of reduced Young walls on λ. We also give a Young wall realization of the crystal B() for Uq(sl2̂).

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