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Asymptotic representations and Drinfeld rational fractions
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Asymptotic representations and Drinfeld rational fractions
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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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Cited by 1 Pith paper
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Baxter Q-operators from a Schwinger-Boson construction of the master T-operator and the mKP hierarchy
A Schwinger-boson Fock-space trace defines the gl(M) master T-operator, and the same L-operator degenerates to the Q-operator L-operator of Bazhanov–Frassek–Lukowski–Meneghelli–Staudacher.
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