Rational representations of the Yangian Y(gln)

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Shapiro, A.

关键词: Yangians;    Representation theory;    Mickelsson algebras;   

DOI  :  10.1016/j.geomphys.2012.03.002

来源: Elsevier

【 摘 要 】

We construct a series of rational representations of Y(gl(n)) and intertwining operators between them. We find explicit expressions for the images of highest-weight vectors under intertwining operators. Finally, we state a conjecture that all irreducible finite-dimensional rational Y(gl(n))-modules can be realized as images of the constructed intertwining operators. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free