Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups

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...

Descripción completa

Detalles Bibliográficos
Autor principal: Coquereaux, Robert
Lenguaje:eng
Publicado: 2010
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1248864
_version_ 1780919577097535488
author Coquereaux, Robert
author_facet Coquereaux, Robert
author_sort Coquereaux, Robert
collection CERN
description 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.
id cern-1248864
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
record_format invenio
spelling cern-12488642021-12-02T14:54:30Zhttp://cds.cern.ch/record/1248864engCoquereaux, RobertGlobal dimensions for Lie groups at level k and their conformally exceptional quantum subgroupsMathematical Physics and MathematicsWe 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.arXiv:1003.2589CERN-PH-TH-2010-060oai:cds.cern.ch:12488642010-03-15
spellingShingle Mathematical Physics and Mathematics
Coquereaux, Robert
Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups
title Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups
title_full Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups
title_fullStr Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups
title_full_unstemmed Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups
title_short Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups
title_sort global dimensions for lie groups at level k and their conformally exceptional quantum subgroups
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1248864
work_keys_str_mv AT coquereauxrobert globaldimensionsforliegroupsatlevelkandtheirconformallyexceptionalquantumsubgroups

Ejemplares similares