Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups
Quantum Algebra
2012-01-31 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We obtain formulae giving global dimensions for fusion categories defined by Lie groups G at level k and for the associated module-categories obtained via conformal embeddings. The results can be expressed in terms of Lie quantum superfactorials of type G. The later are related, for the type Ar, to the quantum Barnes function.
Keywords
Cite
@article{arxiv.1003.2589,
title = {Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups},
author = {Robert Coquereaux},
journal= {arXiv preprint arXiv:1003.2589},
year = {2012}
}
Comments
20 pages, talk given at: Coloquio de Algebras de Hopf, Grupos Cuanticos y Categorias Tensoriales, Cordoba, Argentina, 2009