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arXiv · 2006.14558

On quantum toroidal algebra of type $A_1$

Fulin Chen·Naihuan Jing·Fei Kong·Shaobin Tan
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Abstract

In this paper we introduce a new quantum algebra which specializes to the $2$-toroidal Lie algebra of type $A_1$. We prove that this quantum toroidal algebra has a natural triangular decomposition, a (topological) Hopf algebra structure and a vertex operator realization.

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Fulin Chen, Naihuan Jing, Fei Kong, Shaobin Tan. 2020-06-25. On quantum toroidal algebra of type $A_1$. https://doi.org/10.1016/j.jpaa.2021.106814

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