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Pré-Publication, Document De Travail Année : 2012

Asymptotic representations and Drinfeld rational fractions

David Hernandez
Michio Jimbo
  • Fonction : Auteur

Résumé

We introduce and study a category of representations of the Borel algebra, associated with a quantum loop algebra of non-twisted type. We construct fundamental representations for this category as a limit of the Kirillov-Reshetikhin modules over the quantum loop algebra and we establish explicit formulas for their characters. We prove that general simple modules in this category are classified by n-tuples of rational functions in one variable, which are regular and non-zero at the origin but may have a zero or a pole at infinity.

Dates et versions

hal-00797844 , version 1 (07-03-2013)

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David Hernandez, Michio Jimbo. Asymptotic representations and Drinfeld rational fractions. 2012. ⟨hal-00797844⟩
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