Lie polynomials in $q$-deformed Heisenberg algebras

Rafael Reno S. Cantuba

Let $\mathbb{F}$ be a field, and let $q\in \mathbb{F}$. The $q$-deformed Heisenberg algebra is the unital associative $\mathbb{F}$-algebra $\mathcal{H}(q)$ with generators $A,B$ and…