Yangian actions on higher level irreducible integrable modules of affine gl(N)

Details Yangian actions on higher level irreducible integrable modules of affine gl(N) Yangian actions on higher level irreducible integrable modules of affine gl(N)

1998-02-09

arxiv.org/abs/math/9802048v2

Mathematics

Quantum Algebra

LaTeX, 42 pages. A new section (3.2.2) is added. This section contains expressions for the generators of the sl(N)-Yangian act

Scientific paper

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 semi-infinite 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 semi-infinite skew Young diagrams.

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