On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension

Abstract

We classify infinite-dimensional decomposable braided vector spaces arising from abelian groups whose components are either points or blocks such that the corresponding Nichols algebras have finite Gelfand-Kirillov dimension. In particular we exhibit examples with $\mathrm{GKdim}=n$ for any natural number $n$.

arXiv comment21 pages