Irreducible representations of Yangians

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.

42 pages, final version

References in corpus (2)

• A generalized Harish-Chandra isomorphism
• Mickelsson algebras and representations of Yangians

Cited by in corpus (8)

• Sekiguchi-Debiard operators at infinity
• Twisted Yangians for symmetric pairs of types B, C, D
• Representations of twisted Yangians of types B, C, D: I
• Local Weyl modules and cyclicity of tensor products for Yangians
• Representations of twisted Yangians of types B, C, D: II
• Rational and polynomial representations of Yangians
• Rational representations of the Yangian Y(gl_n)
• Irreducible modules for the degenerate double affine Hecke algebra of type $A$ as submodules of Verma modules