Rational and polynomial representations of Yangians

Abstract

We define natural classes of rational and polynomial representations of the Yangian of the general linear Lie algebra. We also present the classification and explicit realizations of all irreducible rational representations of the Yangian.

arXiv comment23 pages, affiliations updated

References in corpus (6)

• Mickelsson algebras and Zhelobenko operators
• A generalized Harish-Chandra isomorphism
• Duality for Knizhnik-Zamolodchikov and Dynamical Equations
• Irreducible representations of Yangians
• Rational representations of Yangians associated with skew Young diagrams
• Rational representations of the Yangian Y(gl_n)

Cited by in corpus (3)

• Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras
• Contravariant form for reduction algebras and Pieri rule
• Rational representations of the Yangian Y(gl_n)