Zero Action on Perfect Crystals for U q ( G 2 (1) )

[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.

[关键词] combinatorial representation theory;quantum af fine algebra;crystal bases