On the Laistrygonian Nichols algebras that are domains

TL;DR

This paper studies a specific class of Nichols algebras that are domains, classifies their simple modules, and highlights their favorable algebraic properties such as AS-regularity and noetherianity.

Contribution

It provides a classification of finite-dimensional simple modules and point modules for a particular class of Nichols algebras that are domains.

Findings

Nichols algebras are domains with favorable properties

Finite-dimensional simple modules are classified

Point modules are classified

Abstract

We consider a class of Nichols algebras $\mathscr{B} (\mathfrak L_q( 1, \mathscr{G}))$ 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.