Yangian actions on higher level irreducible integrable modules of affine gl(N)
Abstract
An action of the Yangian of the general Lie algebra gl(N) is defined on every irreducible integrable highest weight module of affine gl(N) with level greater than 1. This action is derived, by means of the Drinfeld duality and a subsequent semiinfinite limit, from a certain induced representation of the degenerate double affine Hecke algebra H. Each vacuum module of affine gl(N) is decomposed into irreducible Yangian subrepresentations by means of the intertwiners of H. Components of this decomposition are parameterized by semiinfinite skew Young diagrams.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 1998
 DOI:
 10.48550/arXiv.math/9802048
 arXiv:
 arXiv:math/9802048
 Bibcode:
 1998math......2048U
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 LaTeX, 42 pages. A new section (3.2.2) is added. This section contains expressions for the generators of the sl(N)Yangian action on an irreducible integrable module of gl(N)^ in terms of the standard generators of gl(N)^