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Highest -Weight Representations and Functional Relations
We discuss highest -weight representations of quantum loop algebras and
the corresponding functional relations between integrability objects. In
particular, we compare the prefundamental and -oscillator representations of
the positive Borel subalgebras of the quantum group for arbitrary values of . Our article has partially
the nature of a short review, but it also contains new results. These are the
expressions for the -operators, and the exact relationship between different
representations, as a byproduct resulting in certain conclusions about
functional relations
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