Young wall model for A₂⁽²⁾-type adjoint crystals
classification
🧮 math.RT
keywords
youngcrystalswallsadjointmodelreducedtypewall
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We construct a Young wall model for higher level $A_2^{(2)}$-type adjoint crystals. The Young walls and reduced Young walls are defined in connection with affin energy function. We prove that the affine crystal consisiting of reduced Young walls provides a realization of highest weight crystals $B(\lambda)$ and $B(\infty)$.
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