Kirillov--Reshetikhin modules associated to G_2

Abstract

We define and study the Kirillov--Reshetikhin modules for algebras of type $G_2$. We compute the graded character of these modules and verify that they are in accordance with the conjectures in math.QA/981202 and math.QA/0102113. These results give the first complete description of families of Kirillov--Reshetikhin modules whose isotypical components have multiplicity bigger than one.

19 pages

References in corpus (1)

• The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras

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• Tilting Modules in Truncated Categories
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