Bicrossproduct Structure of Affine Quantum Groups

Details Bicrossproduct Structure of Affine Quantum Groups Bicrossproduct Structure of Affine Quantum Groups

1995-12-05

arxiv.org/abs/q-alg/9512007v1

Mathematics

Quantum Algebra

LATEX 10 pages

Scientific paper

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

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