A construction of level 1 irreducible modules for $U_q(\hat{sp}_4)$ using level 2 intertwiners for $U_q(\hat{sl}_2)$

Details A construction of level 1 irreducible modules for $U_q(\hat{sp}_4)$ using level 2 intertwiners for $U_q(\hat{sl}_2)$ A construction of level 1 irreducible modules for $U_q(\hat{sp}_4)$ using level 2 intertwiners for $U_q(\hat{sl}_2)$

2002-01-15

arxiv.org/abs/math/0201124v1

Mathematics

Quantum Algebra

Scientific paper

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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