Quantum current operators (III): Commutative quantum current operators, semi-infinite construction and functional models
Abstract
We construct a commutative current operator $\bar x^+(z)$ inside $U_q(\hat{\frak sl}(2))$. With this operator and the condition of quantum integrability on the quantum current of $U_q(\hat{\frak sl}(2))$, we derive the quantization of the semi-infinite construction of integrable modules of $\hat{\frak sl}(2)$ with the current operator $e(z)$ of $\hat{\frak sl}(2)$. The quantization of the functional models for $\hat{\frak sl}(2)$ are also given.
- Publication:
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eprint arXiv:q-alg/9612009
- Pub Date:
- December 1996
- DOI:
- 10.48550/arXiv.q-alg/9612009
- arXiv:
- arXiv:q-alg/9612009
- Bibcode:
- 1996q.alg....12009D
- Keywords:
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- Mathematics - Quantum Algebra
- E-Print:
- 12 pages Amslatex