Kirillov--Reshetikhin modules associated to G2
Vyjayanthi Chari, Adriano Moura
Abstract
We define and study the Kirillov--Reshetikhin modules for algebras of type G2. 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.
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