3 problems

Let $\eta_1$ and $\eta_2$ be gradings on $UT_n^{(-)}$. Say that $\eta_1$ and $\eta_2$ correspond to a 1-kill-coarsening when passing from one grading to the other moves exactly one…

Let $G$ be a group and let $(UT_n^{(-)},\eta)$ be an elementary $G$-grading, where $UT_n^{(-)}$ denotes the Lie algebra of upper triangular $n\times n$ matrices. A tree $\mu$ is a…

Graded Amitsur conjecture. There exists a graded PI-exponent