Kirillov--Reshetikhin modules associated to G_2

Details Kirillov--Reshetikhin modules associated to G_2 Kirillov--Reshetikhin modules associated to G_2

2006-04-12

arxiv.org/abs/math/0604281v1

Contemp.Math.442:41-59,2007

Mathematics

Representation Theory

19 pages

Scientific paper

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.

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