Subalgebras of the Fomin-Kirillov algebra

Jonah Blasiak, Ricky Ini Liu, Karola Mészáros

The Fomin-Kirillov algebra ${\mathcal{E}}_n$ is a noncommutative quadratic algebra with a generator for every edge of the complete graph on $n$ vertices. For any graph $G$ on $n$ vert…