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Bicrossproduct Structure of Affine Quantum Groups

S. Majid
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Abstract

We show that the affine quantum group $U_q(\hat{sl_2})$ is isomorphic to a bicrossproduct central extension $C Z{}_χ\cross U_q(Lsl_2)$ of the quantum loop group $U_q(Lsl_2)$ by a quantum cocycle $χ$, which we construct. We prove the same result for $U_q(\hat{g})$ in R-matrix form.

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S. Majid. 1995-12-05. Bicrossproduct Structure of Affine Quantum Groups. https://arxiv.org/abs/q-alg/9512007

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