2 problems

Let $F_{\varepsilon}=F[\varepsilon]/(\varepsilon^2)$, and let ${\cal Q}_{\bullet}(F_{\varepsilon})$ be the Lie coalgebra combining the non-Euclidean and Euclidean scissor-congruenc…

Let $D$ be the algebra of dual numbers, let $\mathscr{D}$ be the associated 2-category of projective bimodules, and for each positive integer $k$ let $\mathcal{J}_k$ denote the two…