Irreducible representations of Yangians

Published 29 May 2011 in math.RT and math.QA | (1105.5777v3)

Abstract: We give explicit realizations of irreducible representations of the Yangian of the general linear Lie algebra and of its twisted analogues, corresponding to symplectic and orthogonal Lie algebras. In particular, we develop the fusion procedure for twisted Yangians. For the non-twisted Yangian, this procedure goes back to the works of Cherednik.

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