Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type Gl[subscript N]

Download or Read eBook Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type Gl[subscript N] PDF written by Kouichi Takemura and published by . This book was released on 1998 with total page 35 pages. Available in PDF, EPUB and Kindle.
Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type Gl[subscript N]
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Total Pages : 35
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ISBN-10 : OCLC:40634660
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Book Synopsis Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type Gl[subscript N] by : Kouichi Takemura

Book excerpt: 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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