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Quantizations of the extended affine Lie algebra $\widetilde{\frak{sl} 2(\mathbb{C} q)}$ by Xu, Ying; Li, Junbo is a scholarly article available to read on EtoBox.

What is Quantizations of the extended affine Lie algebra $\widetilde{\frak{sl} 2(\mathbb{C} q)}$ about?

The extended affine Lie algebra $\widetilde{\frak{sl}_2(\mathbb{C}_q)}$ is quantized from three different points of view in this paper, which produces three noncommutative and noncocommutative Hopf algebra structures, and yield other three quantizations by an isomorphism of $\widetilde{\frak{sl}_2(\mathbb{C}_q)}$ correspondingly. Moreover, two of these quantizations can be restricted to the extended affine Lie algebra ${sl_2(\mathbb{C}_q)}$.

Author

Xu, Ying; Li, Junbo

Published

2011

Language

EN