渐近表示与Drinfeld有理分式
Asymptotic representations and Drinfeld rational fractions
摘要：
我们介绍和研究一类表示的Borel代数，与量子圈代数的非扭曲型。我们构造了这一类的基本表示作为量子圈代数上Kirillov-Reshetikhin模的极限，并建立了它们的特征的显式公式。我们证明了这一范畴中的一般单模可以用n个单变量的有理函数元组来分类，这些有理函数在原点是正则的且非零的，但在无穷远处可能有一个零点或一个极点。
英文摘要：
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.
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