An approach to categorification of some small quantum groups II

TL;DR

This paper presents a categorification of an idempotented form of quantum sl2 and its simple representations at a prime root of unity, advancing the understanding of quantum group structures.

Contribution

It introduces a novel categorification framework for quantum sl2 and its simple modules at roots of unity, extending previous categorification methods.

Findings

Successful categorification of quantum sl2 at prime roots of unity

Construction of categorified simple representations

Enhanced understanding of quantum group structures

Abstract

We categorify an idempotented form of quantum sl2 and some of its simple representations at a prime root of unity.