English

On quantum toroidal algebra of type $A_1$

Quantum Algebra 2021-07-02 v1

Abstract

In this paper we introduce a new quantum algebra which specializes to the 22-toroidal Lie algebra of type A1A_1. We prove that this quantum toroidal algebra has a natural triangular decomposition, a (topological) Hopf algebra structure and a vertex operator realization.

Keywords

Cite

@article{arxiv.2006.14558,
  title  = {On quantum toroidal algebra of type $A_1$},
  author = {Fulin Chen and Naihuan Jing and Fei Kong and Shaobin Tan},
  journal= {arXiv preprint arXiv:2006.14558},
  year   = {2021}
}
R2 v1 2026-06-23T16:37:52.854Z