3 problems

Let $K$ be a field of characteristic zero, let $k,k'\in K^n$ each have exactly $m$ nonzero elements, and let $A_n^k$ and $A_n^{k'}$ be the corresponding higher-order hom-associativ…

Let $K$ be a field of characteristic zero, let $A_n$ be the $n$th higher-order Weyl algebra, and let $A_n^k$ and $A_n^{k'}$ be higher-order hom-associative Weyl algebras associated…

$L_\infty$-structure conjecture. There is an $L_\infty$-algebra structure on the complex $\mathrm{\tilde{H}\!C}(A)$ such that its Maurer–Cartan elements are precisely the multiplic…