Geodesic
Zero Action on Perfect Crystals for $U_q(G_2^{(1)})$
Symmetry, integrability and geometry: methods and applications, Tome 6 (2010) Cet article a éte moissonné depuis la source Math-Net.Ru

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The actions of 0-Kashiwara operators on the $U'_q(G_2^{(1)})$-crystal $B_l$ in [Yamane S., J. Algebra 210 (1998), 440–486] are made explicit by using a similarity technique from that of a $U'_q(D_4^{(3)})$-crystal. It is shown that $\{B_l\}_{l\ge1}$ forms a coherent family of perfect crystals.
Keywords: combinatorial representation theory; quantum affine algebra; crystal bases. 
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     title = {Zero {Action} on {Perfect} {Crystals} for $U_q(G_2^{(1)})$},
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Kailash C. Misra; Mahathir Mohamad; Masato Okado. Zero Action on Perfect Crystals for $U_q(G_2^{(1)})$. Symmetry, integrability and geometry: methods and applications, Tome 6 (2010). http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a21/

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