A diagrammatic approach to categorification of quantum groups II

TL;DR

This paper presents a diagrammatic method to categorify half of the quantum group related to any Cartan datum, advancing the understanding of quantum group structures through categorification.

Contribution

It introduces a novel diagrammatic approach to categorify half of the quantum group for arbitrary Cartan data, extending previous work in the field.

Findings

Developed a diagrammatic categorification framework

Applied the framework to arbitrary Cartan data

Enhanced understanding of quantum group structures

Abstract

We categorify one-half of the quantum group associated to an arbitrary Cartan datum.