Asymptotic representations and Drinfeld rational fractions
2012 ◽
Vol 148
(5)
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pp. 1593-1623
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Keyword(s):
AbstractWe 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 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.
1997 ◽
Vol 262
(1-3)
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pp. 131-163
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Keyword(s):
1999 ◽
Vol 105
(1-2)
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pp. 285-297
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Keyword(s):