Geodesic
A generalization of adjoint crystals for the quantized affine algebras of type $A^{(1)}_n$, $C^{(1)}_n$ and $D^{(2)}_{n+1}$
Journal of Algebraic Combinatorics, Tome 30 (2009) no. 4, pp. 491-514.

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Summary: We generalize Benkart-Frenkel-Kang-Lee's adjoint crystals and describe their crystal structure for type $A _{ n } ^{(1)}, C _{ n } ^{(1)}$ and $D _{ n+1} ^{(2)}$.
Keywords: keywords crystal base, quantized affine algebra, kirillov-reshetikhin module 
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     author = {Kodera, Ryosuke},
     title = {A generalization of adjoint crystals for the quantized affine algebras of type $A^{(1)}_n$, $C^{(1)}_n$ and $D^{(2)}_{n+1}$},
     journal = {Journal of Algebraic Combinatorics},
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Kodera, Ryosuke. A generalization of adjoint crystals for the quantized affine algebras of type $A^{(1)}_n$, $C^{(1)}_n$ and $D^{(2)}_{n+1}$. Journal of Algebraic Combinatorics, Tome 30 (2009) no. 4, pp. 491-514. http://geodesic.mathdoc.fr/item/JAC_2009__30_4_a4/