Irreducible representations of Yangians

TY - JOUR

T1 - Irreducible representations of Yangians

AU - Nazarov, Maxim L

AU - Khoroshkin, Sergey

AU - Papi, Paolo

PY - 2011/11/15

Y1 - 2011/11/15

N2 - 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.

AB - 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.

KW - Yangians;

KW - Intertwining operators

UR - http://www.scopus.com/inward/record.url?scp=80053385405&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2011.08.011

DO - 10.1016/j.jalgebra.2011.08.011

M3 - Article

SN - 0021-8693

VL - 346

SP - 189

EP - 226

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -