English

On the Structure of the Fusion Ideal

Algebraic Topology 2015-05-13 v1 Representation Theory

Abstract

We prove that there is a finite level-independent bound on the number of relations defining the fusion ring of positive energy representations of the loop group of a simple, simply connected Lie group. As an illustration, we compute the fusion ring of G2G_2 at all levels.

Keywords

Cite

@article{arxiv.0806.1566,
  title  = {On the Structure of the Fusion Ideal},
  author = {Christopher L. Douglas},
  journal= {arXiv preprint arXiv:0806.1566},
  year   = {2015}
}
R2 v1 2026-06-21T10:48:58.653Z