2 problems

Let $A_n$ be the free associative algebra and let $\varphi(d,D):A_n\to\Omega(d,D)^{even}_*$ be the algebra map sending each generator $x_i$ to $x_i$. For $m_1,m_2,m_3,m_4\in A_n$,…

In a group $G$, commutators satisfy the five universal identities … … Here $a,b,c\in G$, and commutators of weight $n$ are iterated commutator expressions involving $n$ group eleme…