Lie polynomials in a $q$-deformed universal enveloping algebra of a low-dimensional Lie algebra

Rafael Reno S. Cantuba, Mark Anthony C. Merciales

The nonabelian two-dimensional Lie algebra over a field $\mathbb{F}$ has a presentation by generators $A$, $B$ and relation $\left[A,B\right]=A$, with the universal enveloping alg…