Representations Of The Quantum Toroidal Algebra On Highest Weight Modules Of The Quantum Affine Algebra Of Type Glsubscript N
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Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type Gl[subscript N]
Author | : Kouichi Takemura |
Publisher | : |
Total Pages | : 35 |
Release | : 1998 |
Genre | : Affine algebraic groups |
ISBN | : |
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Abstract: "A representation of the quantum toroidal algebra of type sl[subscript N] is constructed on every integrable irreducible highest weight module of the the [sic] quantum affine algebra of type gl[subscript N]. The q-version of the level-rank duality giving the reciprocal decomposition of the q-Fock space with respect to mutually commutative actions of U[́subscript q](ĝl[subscript N]) of level L and U[́subscript q](ŝl[subscript L) of level N is described."
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