Bicrossproduct Structure of Affine Quantum Groups
Abstract
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.
- Publication:
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eprint arXiv:q-alg/9512007
- Pub Date:
- December 1995
- DOI:
- 10.48550/arXiv.q-alg/9512007
- arXiv:
- arXiv:q-alg/9512007
- Bibcode:
- 1995q.alg....12007M
- Keywords:
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- Mathematics - Quantum Algebra
- E-Print:
- LATEX 10 pages