The cohomology ring of the 12-dimensional Fomin-Kirillov algebra

Dragos Stefan, Cristian Vay

The $12$-dimensional Fomin-Kirillov algebra $F{K}_3$ is defined as the quadratic algebra with generators $a$, $b$ and $c$ which satisfy the relations $a^2=b^2=c^2=0$ and $ab+bc+ca=0=…