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

preprint2010arXivOpen access

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.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

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

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0