A construction of level 1 irreducible modules for Uq(sp4) using level 2 intertwiners for Uq(sl2)

Abstract

We bosonize certain components of level Uq(sl2)-intertwiners of ( + 1)-dimensions. For = 2, these intertwiners, after certain modification by bosonic vertex operators, are added to the algebra Uq(sl2) at level 2 to construct all irreducible highest weight representations of level 1 for the quantum affine algebra Uq(sp4).

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