A categorification of a quantum Frobenius map

TL;DR

This paper presents a categorification of Lusztig's quantum Frobenius map for rak{sl}_2 at a prime root of unity, advancing the understanding of quantum group structures through categorification.

Contribution

It introduces a categorification of the quantum Frobenius map specifically for rak{sl}_2 at a prime root of unity, providing new insights into quantum algebra.

Findings

Categorification of the quantum Frobenius map achieved

Enhanced understanding of quantum group structures at roots of unity

Potential applications in representation theory and categorified quantum invariants

Abstract

A quantum Frobenius map a la Lusztig for $\mathfrak{sl}_2$ is categorified at a prime root of unity.