On the Laistrygonian Nichols algebras that are domains

Abstract

We consider a class of Nichols algebras $\mathcal{B}({\mathfrak{L}}_q(1,\mathcal{G}))$ introduced in [3] which are domains and have many favorable properties like AS-regular and strongly noetherian. We classify their finite-dimensional simple modules and their point modules.

To appear in J. Algebraic Combin