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arXiv · 1112.2337

The central elements of $E_{q,p}(\hat{sl_2})_k$ with the critical level

Wenjing Chang·Xiang-mao Ding·Ke Wu
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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.

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Wenjing Chang, Xiang-mao Ding, Ke Wu. 2011-12-11. The central elements of $E_{q,p}(\hat{sl_2})_k$ with the critical level. https://arxiv.org/abs/1112.2337

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