Higher Fomin-Kirillov algebras are infinite-dimensional

N. Andruskiewitsch, I. Angiono, I. Heckenberger +3

We show that the Fomin--Kirillov algebras $F{K}_n$ are infinite-dimensional for $n\ge 6$. This answers a question posed by Fomin and Kirillov in 1997. To prove this, we demonstrate t…