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933
Crystal graphs for basic representations of the quantum affine algebra Uq(C
 Representations and quantizations (Shanghai
, 1998
"... Abstract. We give a realization of crystal graphs for basic representations of the quantum affine algebra Uq(C (1) 2) in terms of new combinatorial objects called the Young walls. 1. ..."
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Cited by 7 (4 self)
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Abstract. We give a realization of crystal graphs for basic representations of the quantum affine algebra Uq(C (1) 2) in terms of new combinatorial objects called the Young walls. 1.
of the quantum affine algebra Uq ( sl2)
, 2000
"... Factorizing twists and Rmatrices for representations ..."
On the universal weight function for quantum affine algebra Uq ( gl N)
, 2007
"... We continue investigation of the universal weight function for the quantum affine algebra Uq ( gl N) started in [KPT] and [KP]. We obtain two recurrence relations for the universal weight function applying the method of projections developed in [EKP]. On the level of the evaluation representation ..."
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Cited by 8 (5 self)
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We continue investigation of the universal weight function for the quantum affine algebra Uq ( gl N) started in [KPT] and [KP]. We obtain two recurrence relations for the universal weight function applying the method of projections developed in [EKP]. On the level of the evaluation representation
On the Bosonization of LOperators for Quantum Affine Algebra Uq(sl2)
, 1994
"... Some relations between different objects associated with quantum affine algebras are reviewed. It is shown that the FrenkelJing bosonization of a new realization of quantum affine algebra Uq ( ̂ sl2) as well as bosonization of Loperators for this algebra can be obtained from ZamolodchikovFaddeev ..."
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Some relations between different objects associated with quantum affine algebras are reviewed. It is shown that the FrenkelJing bosonization of a new realization of quantum affine algebra Uq ( ̂ sl2) as well as bosonization of Loperators for this algebra can be obtained from Zamolodchikov
Irreducible Modules for the Quantum Affine Algebra Uq(g) and its Borel Subalgebra Uq(g) ≥0
, 2006
"... We prove a bijection between finitedimensional irreducible modules for an arbitrary quantum affine algebra Uq(g) and finitedimensional irreducible modules for its Borel subalgebra Uq(g) ≥0. 1 ..."
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Cited by 10 (0 self)
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We prove a bijection between finitedimensional irreducible modules for an arbitrary quantum affine algebra Uq(g) and finitedimensional irreducible modules for its Borel subalgebra Uq(g) ≥0. 1
Level one representations of quantum affine algebras Uq(C
 1) n ), Selecta Math. (N.S.) 5
, 1999
"... We give explicit constructions of quantum symplectic affine algebras at level 1 using vertex operators. 1 ..."
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Cited by 3 (0 self)
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We give explicit constructions of quantum symplectic affine algebras at level 1 using vertex operators. 1
A family of tridiagonal pairs related to the quantum affine algebra Uq( sl2
 Electron. J. Linear Algebra
"... Abstract. A type of tridiagonal pair is considered, said to be mild of qSerre type.It is shown that these tridiagonal pairs induce the structure of a quantum affine algebra Uq ( sl2)module on their underlying vector space.This is done by presenting an explicit basis for the underlying vector spa ..."
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Cited by 23 (1 self)
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Abstract. A type of tridiagonal pair is considered, said to be mild of qSerre type.It is shown that these tridiagonal pairs induce the structure of a quantum affine algebra Uq ( sl2)module on their underlying vector space.This is done by presenting an explicit basis for the underlying vector
BRST cohomology in quantum affine algebra Uq( ̂ sl2). RIMS927
, 1993
"... Using free field representation of quantum affine algebra Uq ( ̂ sl2), we investigate the structure of the Fock modules over Uq ( ̂ sl2). The analisys is based on a qanalog of the BRST formalism given by Bernard and Felder in the affine KacMoody algebra ̂ sl2. We give an explicit construction of ..."
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Cited by 5 (1 self)
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Using free field representation of quantum affine algebra Uq ( ̂ sl2), we investigate the structure of the Fock modules over Uq ( ̂ sl2). The analisys is based on a qanalog of the BRST formalism given by Bernard and Felder in the affine KacMoody algebra ̂ sl2. We give an explicit construction
Raising/Lowering Maps and Modules for the Quantum Affine Algebra Uq ( ̂ sl2)
, 2005
"... Let K denote an algebraically closed field and let q denote a nonzero scalar in K that is not a root of unity. Let V denote a vector space over K with finite positive dimension. Let V0,V1,...,Vd denote a sequence of nonzero subspaces whose direct sum is V. Suppose R: V → V and L: V → V are linear tr ..."
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Cited by 8 (3 self)
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− K0, and K −1 − K1 vanish on V, where e − 1,e − 0,K0,K1 are Chevalley generators for Uq ( ̂ sl2). We determine which Uq ( ̂ sl2)modules arise from our construction. 1 The quantum affine algebra Uq ( ̂ sl2) Throughout this paper K will denote an algebraically closed field. We fix a nonzero scalar
Results 1  10
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