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

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."


Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type Gl[subscript N]
Language: en
Pages: 35
Authors: Kouichi Takemura
Categories: Affine algebraic groups
Type: BOOK - Published: 1998 - Publisher:

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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
Toroidal Actions on Level 1 Modules of U[subscript Q](sl︠[︡subscript N])
Language: en
Pages: 28
Authors: Yoshihisa Saito
Categories: Affine algebraic groups
Type: BOOK - Published: 1997 - Publisher:

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Abstract: "We propose a proof of the recent observation due to Varagnolo and Vasserot that the q-deformed Fock spaces are modules of the quantum toroidal algebr
Quantum Affine Weyl Duality for an Infinite Tensor Product
Language: en
Pages: 196
Authors: Eugene Stern
Categories:
Type: BOOK - Published: 1996 - Publisher:

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Notes on Highest Weight Modules of the Elliptic Algebra A[subscript Q, P] (ŝl2)
Language: en
Pages: 43
Authors: Omar Foda
Categories: Quantum field theory
Type: BOOK - Published: 1994 - Publisher:

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Abstract: "We discuss a construction of highest weight modules for the recently defined elliptic algebra A[subscript q, p] (ŝl2), and make several conjectures
Quantum Groups and Quantum Cohomology
Language: en
Pages: 209
Authors: Davesh Maulik
Categories: Cohomology operations
Type: BOOK - Published: 2019 - Publisher:

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