Communications in Mathematical Physics

, Volume 205, Issue 1, pp 1-18

First online:

Drinfeld Functor and Finite-Dimensional Representations of Yangian

  • Tomoyuki ArakawaAffiliated withGraduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8602, Japan.¶E-mail:

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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.