A reason for fusion rules to be even
Quantum Algebra
2009-11-07 v1 High Energy Physics - Theory
Category Theory
Abstract
We show that certain tensor product multiplicities in semisimple braided sovereign tensor categories must be even. The quantity governing this behavior is the Frobenius-Schur indicator. The result applies in particular to the representation categories of large classes of groups, Lie algebras, Hopf algebras and vertex algebras.
Cite
@article{arxiv.math/0110257,
title = {A reason for fusion rules to be even},
author = {Juergen Fuchs and Ingo Runkel and Christoph Schweigert},
journal= {arXiv preprint arXiv:math/0110257},
year = {2009}
}
Comments
6 pages, LaTeX