Communications in Mathematical Physics

, Volume 205, Issue 1, pp 1-18

Drinfeld Functor and Finite-Dimensional Representations of Yangian

  • Tomoyuki ArakawaAffiliated withGraduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8602, Japan.¶E-mail: tarakawa@math.nagoya-u.ac.jp

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Abstract:

We extend the results of Drinfeld on the Drinfeld functor to the case \(\). We present the character of finite-dimensional representations of the Yangian \(\) in terms of the Kazhdan–Lusztig polynomials as a consequence.