Auslander-Reiten theory of small half quantum groups

TL;DR

This paper investigates the structure of the stable Auslander-Reiten quiver for small half quantum groups, revealing that components with gradable modules are of a specific infinite type form.

Contribution

It establishes the form of components in the stable Auslander-Reiten quiver for small half quantum groups, advancing understanding of their representation theory.

Findings

Components with gradable modules are of the form Z[A_ finite]

Provides new insights into the structure of stable Auslander-Reiten quivers

Enhances understanding of representation theory of small half quantum groups

Abstract

For the small half quantum groups and we show that the components of the stable Auslander-Reiten quiver containing gradable modules are of the form Z[A_\infty]