Categorical Tori
Representation Theory
2018-02-20 v3 Category Theory
K-Theory and Homology
Abstract
We give explicit and elementary constructions of the categorical extensions of a torus by the circle and discuss an application to loop group extensions. Examples include maximal tori of simple and simply connected compact Lie groups and the tori associated to the Leech and Niemeyer lattices. We obtain the extraspecial 2-groups as the isomorphism classes of categorical fixed points under an involution action.
Keywords
Cite
@article{arxiv.1406.7046,
title = {Categorical Tori},
author = {Nora Ganter},
journal= {arXiv preprint arXiv:1406.7046},
year = {2018}
}