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. (C) 2011 Elsevier Inc. All rights reserved.
Irreducible representations of Yangians / Sergey, Khoroshkin; Maxim, Nazarov; Papi, Paolo. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 346:1(2011), pp. 189-226. [10.1016/j.jalgebra.2011.08.011]
Irreducible representations of Yangians
PAPI, Paolo
2011
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. (C) 2011 Elsevier Inc. All rights reserved.File allegati a questo prodotto
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