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arXiv · 1709.10232

Young wall model for $A_2^{(2)}$-type adjoint crystals

Seok-Jin Kang
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Abstract

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 $B(λ)$ and $B(\infty)$.

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Seok-Jin Kang. 2017-10-12. Young wall model for $A_2^{(2)}$-type adjoint crystals. https://arxiv.org/abs/1709.10232

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