6 problems

Let $B$ be a local commutative algebra over $k$ with maximal ideal ${\mathfrak m} \subset B$, and let $\widetilde{A}$ be a flat associative algebra over $B$ such that…

Adjamagbo's separable Jacobian conjecture. Assume that

Let $k_p$ be the ground field of characteristic $p$, with $p\geq 7$, and let $\mathfrak{g}$ be a finite-dimensional simple Lie superalgebra over $k_p$. The examples of Proposition…

Classification conjecture. If $L$ admits a nontrivial Hom-Lie structure, then $L$ is isomorphic either to a $3$-dimensional simple algebra, or, in the case of positive characterist…

Let $k$ be an algebraically closed field of characteristic $p>0$, and let $K$ be a semisimple Hopf algebra that is not necessarily cosemisimple. Consider the conclusions of Theorem…

Let $H_c$ be the infinitesimal Cherednik algebra associated with $\mathfrak{g}=\mathfrak{gl}_n$ and parameter $c$ over a field of characteristic $p$, equipped with its standard fil…