Yangian actions on higher level irreducible modules of ĝlN
نویسنده
چکیده
An action of the Yangian of the general linear Lie algebra glN is defined on every irreducible highest weight module of ĝlN with integer level > 2. 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 ĝlN is decomposed into irreducible Yangian representations by means of the intertwiners of H. Components of this decomposition are parameterized by semi-infinite skew Young diagrams.
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YANGIAN ACTIONS ON HIGHER LEVEL IRREDUCIBLE INTEGRABLE MODULES OF ĝlN
An action of the Yangian of the general linear Lie algebra glN is defined on every irreducible integrable highest weight module of ĝlN with level > 2. 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 ĝlN is decomposed into irreducible Yangian...
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