Some theorems on Leibniz $n$-algebras from the category ${\text{U}}_n(\text{Lb})$

Min Soo Kim, Rustam Turdibaev

We study the Leibniz $n$-algebra ${\text{U}}_n(\mathfrak{L})$, whose multiplication is defined via the bracket of a Leibniz algebra $\mathfrak{L}$ as $[x_1,\dots,x_n]=[x_1,[\dots,…