2 problems

Let $A_n$ be the free associative algebra on generators $x_1,\dots,x_n$, regarded as a Lie algebra with bracket $[a,b]=a\cdot b-b\cdot a$. For a monomial…

Alekseev's uniqueness conjecture. Every degree-zero $1$-cocycle on $\operatorname{Der}(T(A_n))$ with values in $\lvert T(A_n)\rvert\otimes\lvert T(A_n)\rvert$ is a linear combinati…