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 KacMoody algebras also holds for the elliptic quantum algebras.
 Publication:

arXiv eprints
 Pub Date:
 December 2011
 DOI:
 10.48550/arXiv.1112.2337
 arXiv:
 arXiv:1112.2337
 Bibcode:
 2011arXiv1112.2337C
 Keywords:

 Mathematical Physics;
 Mathematics  Quantum Algebra
 EPrint:
 12 pages