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

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 $B(\lambda )$ and $B(\infty )$.

Revised

References in corpus (1)

• Level 1 Perfect Crystals and Path Realizations of Basic Representations at q=0