Products of several commutators in a Lie nilpotent associative algebra

Galina Deryabina, Alexei Krasilnikov

Let $F$ be a field of characteristic $\ne 2,3$ and let $A$ be a unital associative $F$-algebra. Define a left-normed commutator $[a_1,a_2,\dots ,a_n]$ $(a_i\in A)$ recursively…