Convex PBW-type Lyndon Bases and Restricted Two-Parameter Quantum Group of Type $F_4$

Xiaoyu Chen, Naihong Hu, Xiuling Wang

We determine convex PBW-type Lyndon bases for two-parameter quantum groups $U_{r,s}(F_4)$ with detailed commutation relations. We construct a finite-dimensional Hopf algebra $\math…