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

Symmetry Integrability and Geometry-Methods and Applications

article

Kailash C. Misra¹  Mahathir Mohamad²  Masato Okado² 

[1] Department of Mathematics, North Carolina State University;Department of Mathematical Science, Graduate School of Engineering Science, Osaka University

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

DOI  :  10.3842/SIGMA.2010.022

来源: National Academy of Science of Ukraine

【 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