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

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 Added by Seok-Jin Kang
 Publication date 2017
  fields
and research's language is English
 Authors Seok-Jin Kang




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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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