期刊论文详细信息
Symmetry, Integrability and Geometry: Methods and Applications
Zero Action on Perfect Crystals for U_q(G_2^{(1)})
关键词: combinatorial representation theory;    quantum affine algebra;    crystal bases;   
DOI  :  
来源: DOAJ
【 摘 要 】

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 ≥ 1} forms a coherent family of perfect crystals.

【 授权许可】

Unknown   

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