Zero Action on Perfect Crystals for U_q(G_2^{(1)})
Quantum Algebra
2010-03-10 v3 Combinatorics
Abstract
The actions of 0-Kashiwara operators on the -crystal in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a -crystal. It is shown that forms a coherent family of perfect crystals.
Cite
@article{arxiv.0911.2579,
title = {Zero Action on Perfect Crystals for U_q(G_2^{(1)})},
author = {Kailash C. Misra and Mahathir Mohamad and Masato Okado},
journal= {arXiv preprint arXiv:0911.2579},
year = {2010}
}