A diagrammatic approach to categorification of quantum groups I
Quantum Algebra
2025-01-23 v2 Representation Theory
Abstract
To each graph without loops and multiple edges we assign a family of rings. Categories of projective modules over these rings categorify , where is the Kac-Moody Lie algebra associated with the graph.
Keywords
Cite
@article{arxiv.0803.4121,
title = {A diagrammatic approach to categorification of quantum groups I},
author = {Mikhail Khovanov and Aaron D. Lauda},
journal= {arXiv preprint arXiv:0803.4121},
year = {2025}
}
Comments
53 pages, 24 eps files, v2 corrects several misprints