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arXiv · 0911.2579

Zero Action on Perfect Crystals for U_q(G_2^{(1)})

Kailash C. Misra·Mahathir Mohamad·Masato Okado
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Abstract

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.

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Kailash C. Misra, Mahathir Mohamad, Masato Okado. 2010-03-09. Zero Action on Perfect Crystals for U_q(G_2^{(1)}). https://doi.org/10.3842/sigma.2010.022

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