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arxiv: math/0201124 · v1 · submitted 2002-01-15 · 🧮 math.QA

A construction of level 1 irreducible modules for U_q(hat{sp}₄) using level 2 intertwiners for U_q(hat{sl}₂)

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We bosonize certain components of level $\ell$ $U_q(\hat{sl}_2)$-intertwiners of $(\ell + 1)$-dimensions. For $\ell = 2$, these intertwiners, after certain modification by bosonic vertex operators, are added to the algebra $U_q(\hat{sl}_2)$ at level 2 to construct all irreducible highest weight representations of level 1 for the quantum affine algebra $U_q(\hat{sp}_4)$.

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