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Drinfeld Functor and Finite-Dimensional Representations of Yangian

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We extend the results of Drinfeld on the Drinfeld functor to the case ℓ ≥ n. We present the character of finite-dimensional representations of the Yangian \(Y(\mathfrak{s}{\mathfrak{l}_n})\) in terms of the Kazhdan–Lusztig polynomials as a consequence.

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Received: 4 September 1998 / Accepted: 12 February 1999

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Arakawa, T. Drinfeld Functor and Finite-Dimensional Representations of Yangian. Commun. Math. Phys. 205, 1–18 (1999). https://doi.org/10.1007/s002200050664

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  • DOI: https://doi.org/10.1007/s002200050664

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