The central elements of $E_{q,p}(\hat{sl_2})_k$ with the critical level
Abstract
In this paper we generalize certain results concerning quantum affine algebra $U_{q}(\hat{sl_{2}})$ at the critical level to the corresponding elliptic case $E_{q,p}(\hat{sl_2})$. Using the Wakimoto realization of the algebra $E_{q,p}(\hat{sl_2})$, we construct the central elements of it at the critical level. It turns out that the so called Drinfeld conjecture originally proposed for Kac-Moody algebras also holds for the elliptic quantum algebras.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2011
- DOI:
- 10.48550/arXiv.1112.2337
- arXiv:
- arXiv:1112.2337
- Bibcode:
- 2011arXiv1112.2337C
- Keywords:
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- Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- 12 pages