Categorical Tori

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Ganter, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209450
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Categorical Tori / N. Ganter // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 17 назв. — англ.

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 with the Leech and Niemeyer lattices. We o...