Existence of Kirillov-Reshetikhin crystals of type $G_2^{(1)}$ and $D_4^{(3)}$

Abstract

In this paper we prove that every Kirillov-Reshetikhin module of type $G_2^{(1)}$ and $D_4^{(3)}$ has a crystal pseudobase (crystal base modulo signs), by applying the criterion for the existence of a crystal pseudobase due to Kang et al.

16 pages

References in corpus (1)

• Existence of Kirillov-Reshetikhin crystals for nonexceptional types

Cited by in corpus (3)

• On higher level Kirillov--Reshetikhin crystals, Demazure crystals, and related uniform models
• Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes
• Kirillov-Reshetikhin crystals $B^{7,s}$ for type $E_7^{(1)}$